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Finding the Fourth Proportional to 230.29, 344.86 and 138.71

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Solution

The fourth proportional to 230.29, 344.86 and 138.71 is: 207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.29 : 344.86 = 138.71 : x
  2. Step 2: Convert to fraction form
    230.29/344.86 = 138.71/x
  3. Step 3: Cross multiply
    230.29x = 344.86 × 138.71
  4. Step 4: Simplify right side
    230.29x = 47,836.05
  5. Step 5: Solve for x
    x = 47,836.05/230.29
  6. Step 6: Final answer
    x = 207.72

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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.