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Finding the Fourth Proportional to 231.30, 346.82 and 86.96

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Solution

The fourth proportional to 231.30, 346.82 and 86.96 is: 130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.30 : 346.82 = 86.96 : x
  2. Step 2: Convert to fraction form
    231.30/346.82 = 86.96/x
  3. Step 3: Cross multiply
    231.30x = 346.82 × 86.96
  4. Step 4: Simplify right side
    231.30x = 30,159.47
  5. Step 5: Solve for x
    x = 30,159.47/231.30
  6. Step 6: Final answer
    x = 130.39

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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.