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Finding the Fourth Proportional to 502.22, 753.33 and 177.82

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Solution

The fourth proportional to 502.22, 753.33 and 177.82 is: 266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.22 : 753.33 = 177.82 : x
  2. Step 2: Convert to fraction form
    502.22/753.33 = 177.82/x
  3. Step 3: Cross multiply
    502.22x = 753.33 × 177.82
  4. Step 4: Simplify right side
    502.22x = 133,957.14
  5. Step 5: Solve for x
    x = 133,957.14/502.22
  6. Step 6: Final answer
    x = 266.73

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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.