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Finding the Fourth Proportional to 738.16, 1,106.92 and 251.08

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Solution

The fourth proportional to 738.16, 1,106.92 and 251.08 is: 376.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.16 : 1,106.92 = 251.08 : x
  2. Step 2: Convert to fraction form
    738.16/1,106.92 = 251.08/x
  3. Step 3: Cross multiply
    738.16x = 1,106.92 × 251.08
  4. Step 4: Simplify right side
    738.16x = 277,925.47
  5. Step 5: Solve for x
    x = 277,925.47/738.16
  6. Step 6: Final answer
    x = 376.51

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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.