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Finding the Fourth Proportional to 160.32, 239.36 and 142.14

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Solution

The fourth proportional to 160.32, 239.36 and 142.14 is: 212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.32 : 239.36 = 142.14 : x
  2. Step 2: Convert to fraction form
    160.32/239.36 = 142.14/x
  3. Step 3: Cross multiply
    160.32x = 239.36 × 142.14
  4. Step 4: Simplify right side
    160.32x = 34,021.92
  5. Step 5: Solve for x
    x = 34,021.92/160.32
  6. Step 6: Final answer
    x = 212.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.