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Finding the Fourth Proportional to 158.72, 238.01 and 98.15

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Solution

The fourth proportional to 158.72, 238.01 and 98.15 is: 147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.72 : 238.01 = 98.15 : x
  2. Step 2: Convert to fraction form
    158.72/238.01 = 98.15/x
  3. Step 3: Cross multiply
    158.72x = 238.01 × 98.15
  4. Step 4: Simplify right side
    158.72x = 23,359.00
  5. Step 5: Solve for x
    x = 23,359.00/158.72
  6. Step 6: Final answer
    x = 147.18

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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.