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Finding the Fourth Proportional to 502.20, 753.23 and 177.80

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Solution

The fourth proportional to 502.20, 753.23 and 177.80 is: 266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.20 : 753.23 = 177.80 : x
  2. Step 2: Convert to fraction form
    502.20/753.23 = 177.80/x
  3. Step 3: Cross multiply
    502.20x = 753.23 × 177.80
  4. Step 4: Simplify right side
    502.20x = 133,920.97
  5. Step 5: Solve for x
    x = 133,920.97/502.20
  6. Step 6: Final answer
    x = 266.67

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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.