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Finding the Fourth Proportional to 231.15, 346.89 and 86.91

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Solution

The fourth proportional to 231.15, 346.89 and 86.91 is: 130.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.15 : 346.89 = 86.91 : x
  2. Step 2: Convert to fraction form
    231.15/346.89 = 86.91/x
  3. Step 3: Cross multiply
    231.15x = 346.89 × 86.91
  4. Step 4: Simplify right side
    231.15x = 30,148.21
  5. Step 5: Solve for x
    x = 30,148.21/231.15
  6. Step 6: Final answer
    x = 130.43

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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.