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Finding the Fourth Proportional to 158.91, 238.49 and 98.09

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Solution

The fourth proportional to 158.91, 238.49 and 98.09 is: 147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.91 : 238.49 = 98.09 : x
  2. Step 2: Convert to fraction form
    158.91/238.49 = 98.09/x
  3. Step 3: Cross multiply
    158.91x = 238.49 × 98.09
  4. Step 4: Simplify right side
    158.91x = 23,393.62
  5. Step 5: Solve for x
    x = 23,393.62/158.91
  6. Step 6: Final answer
    x = 147.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.