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Finding the Fourth Proportional to 738.18, 1,106.90 and 251.06

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Solution

The fourth proportional to 738.18, 1,106.90 and 251.06 is: 376.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.18 : 1,106.90 = 251.06 : x
  2. Step 2: Convert to fraction form
    738.18/1,106.90 = 251.06/x
  3. Step 3: Cross multiply
    738.18x = 1,106.90 × 251.06
  4. Step 4: Simplify right side
    738.18x = 277,898.31
  5. Step 5: Solve for x
    x = 277,898.31/738.18
  6. Step 6: Final answer
    x = 376.46

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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.