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Finding the Fourth Proportional to 160.22, 238.82 and 142.78

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Solution

The fourth proportional to 160.22, 238.82 and 142.78 is: 212.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.22 : 238.82 = 142.78 : x
  2. Step 2: Convert to fraction form
    160.22/238.82 = 142.78/x
  3. Step 3: Cross multiply
    160.22x = 238.82 × 142.78
  4. Step 4: Simplify right side
    160.22x = 34,097.53
  5. Step 5: Solve for x
    x = 34,097.53/160.22
  6. Step 6: Final answer
    x = 212.82

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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.