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Finding the Fourth Proportional to 814.38, 1,221.77 and 237.25

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Solution

The fourth proportional to 814.38, 1,221.77 and 237.25 is: 355.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.38 : 1,221.77 = 237.25 : x
  2. Step 2: Convert to fraction form
    814.38/1,221.77 = 237.25/x
  3. Step 3: Cross multiply
    814.38x = 1,221.77 × 237.25
  4. Step 4: Simplify right side
    814.38x = 289,864.93
  5. Step 5: Solve for x
    x = 289,864.93/814.38
  6. Step 6: Final answer
    x = 355.93

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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.