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Finding the Fourth Proportional to 738.02, 1,106.96 and 225.02

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Solution

The fourth proportional to 738.02, 1,106.96 and 225.02 is: 337.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.02 : 1,106.96 = 225.02 : x
  2. Step 2: Convert to fraction form
    738.02/1,106.96 = 225.02/x
  3. Step 3: Cross multiply
    738.02x = 1,106.96 × 225.02
  4. Step 4: Simplify right side
    738.02x = 249,089.60
  5. Step 5: Solve for x
    x = 249,089.60/738.02
  6. Step 6: Final answer
    x = 337.51

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.