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Finding the Fourth Proportional to 159.93, 239.74 and 142.74

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Solution

The fourth proportional to 159.93, 239.74 and 142.74 is: 213.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.93 : 239.74 = 142.74 : x
  2. Step 2: Convert to fraction form
    159.93/239.74 = 142.74/x
  3. Step 3: Cross multiply
    159.93x = 239.74 × 142.74
  4. Step 4: Simplify right side
    159.93x = 34,220.13
  5. Step 5: Solve for x
    x = 34,220.13/159.93
  6. Step 6: Final answer
    x = 213.97

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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.