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Finding the Fourth Proportional to 814.50, 1,221.82 and 237.42

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Solution

The fourth proportional to 814.50, 1,221.82 and 237.42 is: 356.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.50 : 1,221.82 = 237.42 : x
  2. Step 2: Convert to fraction form
    814.50/1,221.82 = 237.42/x
  3. Step 3: Cross multiply
    814.50x = 1,221.82 × 237.42
  4. Step 4: Simplify right side
    814.50x = 290,084.50
  5. Step 5: Solve for x
    x = 290,084.50/814.50
  6. Step 6: Final answer
    x = 356.15

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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.