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Finding the Fourth Proportional to 160.24, 239.96 and 111.92

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Solution

The fourth proportional to 160.24, 239.96 and 111.92 is: 167.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.24 : 239.96 = 111.92 : x
  2. Step 2: Convert to fraction form
    160.24/239.96 = 111.92/x
  3. Step 3: Cross multiply
    160.24x = 239.96 × 111.92
  4. Step 4: Simplify right side
    160.24x = 26,856.32
  5. Step 5: Solve for x
    x = 26,856.32/160.24
  6. Step 6: Final answer
    x = 167.60

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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.