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Finding the Fourth Proportional to 237.13, 353.77 and 229.43

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Solution

The fourth proportional to 237.13, 353.77 and 229.43 is: 342.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.13 : 353.77 = 229.43 : x
  2. Step 2: Convert to fraction form
    237.13/353.77 = 229.43/x
  3. Step 3: Cross multiply
    237.13x = 353.77 × 229.43
  4. Step 4: Simplify right side
    237.13x = 81,165.76
  5. Step 5: Solve for x
    x = 81,165.76/237.13
  6. Step 6: Final answer
    x = 342.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.