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Finding the Fourth Proportional to 158.56, 219.31 and 140.13

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Solution

The fourth proportional to 158.56, 219.31 and 140.13 is: 193.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.56 : 219.31 = 140.13 : x
  2. Step 2: Convert to fraction form
    158.56/219.31 = 140.13/x
  3. Step 3: Cross multiply
    158.56x = 219.31 × 140.13
  4. Step 4: Simplify right side
    158.56x = 30,731.56
  5. Step 5: Solve for x
    x = 30,731.56/158.56
  6. Step 6: Final answer
    x = 193.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.