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Finding the Fourth Proportional to 231.61, 346.96 and 115.71

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Solution

The fourth proportional to 231.61, 346.96 and 115.71 is: 173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.61 : 346.96 = 115.71 : x
  2. Step 2: Convert to fraction form
    231.61/346.96 = 115.71/x
  3. Step 3: Cross multiply
    231.61x = 346.96 × 115.71
  4. Step 4: Simplify right side
    231.61x = 40,146.48
  5. Step 5: Solve for x
    x = 40,146.48/231.61
  6. Step 6: Final answer
    x = 173.34

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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.