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Finding the Fourth Proportional to 502.10, 753.40 and 177.49

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Solution

The fourth proportional to 502.10, 753.40 and 177.49 is: 266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.10 : 753.40 = 177.49 : x
  2. Step 2: Convert to fraction form
    502.10/753.40 = 177.49/x
  3. Step 3: Cross multiply
    502.10x = 753.40 × 177.49
  4. Step 4: Simplify right side
    502.10x = 133,722.13
  5. Step 5: Solve for x
    x = 133,722.13/502.10
  6. Step 6: Final answer
    x = 266.33

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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.