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Finding the Fourth Proportional to 159.89, 239.99 and 144.57

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Solution

The fourth proportional to 159.89, 239.99 and 144.57 is: 217.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.89 : 239.99 = 144.57 : x
  2. Step 2: Convert to fraction form
    159.89/239.99 = 144.57/x
  3. Step 3: Cross multiply
    159.89x = 239.99 × 144.57
  4. Step 4: Simplify right side
    159.89x = 34,694.63
  5. Step 5: Solve for x
    x = 34,694.63/159.89
  6. Step 6: Final answer
    x = 217.00

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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.