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Finding the Fourth Proportional to 160.64, 239.62 and 142.41

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Solution

The fourth proportional to 160.64, 239.62 and 142.41 is: 212.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.64 : 239.62 = 142.41 : x
  2. Step 2: Convert to fraction form
    160.64/239.62 = 142.41/x
  3. Step 3: Cross multiply
    160.64x = 239.62 × 142.41
  4. Step 4: Simplify right side
    160.64x = 34,123.93
  5. Step 5: Solve for x
    x = 34,123.93/160.64
  6. Step 6: Final answer
    x = 212.43

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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.