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Finding the Fourth Proportional to 230.70, 346.04 and 86.52

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Solution

The fourth proportional to 230.70, 346.04 and 86.52 is: 129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.70 : 346.04 = 86.52 : x
  2. Step 2: Convert to fraction form
    230.70/346.04 = 86.52/x
  3. Step 3: Cross multiply
    230.70x = 346.04 × 86.52
  4. Step 4: Simplify right side
    230.70x = 29,939.38
  5. Step 5: Solve for x
    x = 29,939.38/230.70
  6. Step 6: Final answer
    x = 129.78

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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.