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Finding the Fourth Proportional to 159.87, 240.01 and 135.98

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Solution

The fourth proportional to 159.87, 240.01 and 135.98 is: 204.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.87 : 240.01 = 135.98 : x
  2. Step 2: Convert to fraction form
    159.87/240.01 = 135.98/x
  3. Step 3: Cross multiply
    159.87x = 240.01 × 135.98
  4. Step 4: Simplify right side
    159.87x = 32,634.68
  5. Step 5: Solve for x
    x = 32,634.68/159.87
  6. Step 6: Final answer
    x = 204.13

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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.