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Finding the Fourth Proportional to 159.82, 240.01 and 144.47

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Solution

The fourth proportional to 159.82, 240.01 and 144.47 is: 216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.82 : 240.01 = 144.47 : x
  2. Step 2: Convert to fraction form
    159.82/240.01 = 144.47/x
  3. Step 3: Cross multiply
    159.82x = 240.01 × 144.47
  4. Step 4: Simplify right side
    159.82x = 34,674.48
  5. Step 5: Solve for x
    x = 34,674.48/159.82
  6. Step 6: Final answer
    x = 216.96

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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.