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Finding the Fourth Proportional to 158.91, 238.56 and 98.16

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Solution

The fourth proportional to 158.91, 238.56 and 98.16 is: 147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.91 : 238.56 = 98.16 : x
  2. Step 2: Convert to fraction form
    158.91/238.56 = 98.16/x
  3. Step 3: Cross multiply
    158.91x = 238.56 × 98.16
  4. Step 4: Simplify right side
    158.91x = 23,417.05
  5. Step 5: Solve for x
    x = 23,417.05/158.91
  6. Step 6: Final answer
    x = 147.36

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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.