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Finding the Fourth Proportional to 238.72, 358.17 and 147.28

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Solution

The fourth proportional to 238.72, 358.17 and 147.28 is: 220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.72 : 358.17 = 147.28 : x
  2. Step 2: Convert to fraction form
    238.72/358.17 = 147.28/x
  3. Step 3: Cross multiply
    238.72x = 358.17 × 147.28
  4. Step 4: Simplify right side
    238.72x = 52,751.28
  5. Step 5: Solve for x
    x = 52,751.28/238.72
  6. Step 6: Final answer
    x = 220.98

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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.