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Finding the Fourth Proportional to 159.31, 238.87 and 140.09

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Solution

The fourth proportional to 159.31, 238.87 and 140.09 is: 210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.31 : 238.87 = 140.09 : x
  2. Step 2: Convert to fraction form
    159.31/238.87 = 140.09/x
  3. Step 3: Cross multiply
    159.31x = 238.87 × 140.09
  4. Step 4: Simplify right side
    159.31x = 33,461.49
  5. Step 5: Solve for x
    x = 33,461.49/159.31
  6. Step 6: Final answer
    x = 210.05

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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.