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Finding the Fourth Proportional to 229.38, 342.17 and 215.42

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Solution

The fourth proportional to 229.38, 342.17 and 215.42 is: 321.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.38 : 342.17 = 215.42 : x
  2. Step 2: Convert to fraction form
    229.38/342.17 = 215.42/x
  3. Step 3: Cross multiply
    229.38x = 342.17 × 215.42
  4. Step 4: Simplify right side
    229.38x = 73,707.47
  5. Step 5: Solve for x
    x = 73,707.47/229.38
  6. Step 6: Final answer
    x = 321.33

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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.