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Finding the Fourth Proportional to 159.74, 239.40 and 135.27

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Solution

The fourth proportional to 159.74, 239.40 and 135.27 is: 202.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.74 : 239.40 = 135.27 : x
  2. Step 2: Convert to fraction form
    159.74/239.40 = 135.27/x
  3. Step 3: Cross multiply
    159.74x = 239.40 × 135.27
  4. Step 4: Simplify right side
    159.74x = 32,383.64
  5. Step 5: Solve for x
    x = 32,383.64/159.74
  6. Step 6: Final answer
    x = 202.73

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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.