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Finding the Fourth Proportional to 231.32, 346.92 and 123.16

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Solution

The fourth proportional to 231.32, 346.92 and 123.16 is: 184.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.32 : 346.92 = 123.16 : x
  2. Step 2: Convert to fraction form
    231.32/346.92 = 123.16/x
  3. Step 3: Cross multiply
    231.32x = 346.92 × 123.16
  4. Step 4: Simplify right side
    231.32x = 42,726.67
  5. Step 5: Solve for x
    x = 42,726.67/231.32
  6. Step 6: Final answer
    x = 184.71

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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.