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Finding the Fourth Proportional to 230.24, 316.92 and 174.08

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Solution

The fourth proportional to 230.24, 316.92 and 174.08 is: 239.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.24 : 316.92 = 174.08 : x
  2. Step 2: Convert to fraction form
    230.24/316.92 = 174.08/x
  3. Step 3: Cross multiply
    230.24x = 316.92 × 174.08
  4. Step 4: Simplify right side
    230.24x = 55,169.43
  5. Step 5: Solve for x
    x = 55,169.43/230.24
  6. Step 6: Final answer
    x = 239.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.