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Finding the Fourth Proportional to 229.52, 344.29 and 101.27

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Solution

The fourth proportional to 229.52, 344.29 and 101.27 is: 151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.52 : 344.29 = 101.27 : x
  2. Step 2: Convert to fraction form
    229.52/344.29 = 101.27/x
  3. Step 3: Cross multiply
    229.52x = 344.29 × 101.27
  4. Step 4: Simplify right side
    229.52x = 34,866.86
  5. Step 5: Solve for x
    x = 34,866.86/229.52
  6. Step 6: Final answer
    x = 151.91

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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.