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Finding the Fourth Proportional to 231.58, 347.24 and 87.20

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Solution

The fourth proportional to 231.58, 347.24 and 87.20 is: 130.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.58 : 347.24 = 87.20 : x
  2. Step 2: Convert to fraction form
    231.58/347.24 = 87.20/x
  3. Step 3: Cross multiply
    231.58x = 347.24 × 87.20
  4. Step 4: Simplify right side
    231.58x = 30,279.33
  5. Step 5: Solve for x
    x = 30,279.33/231.58
  6. Step 6: Final answer
    x = 130.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.