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Finding the Fourth Proportional to 147.58, 221.15 and 132.28

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Solution

The fourth proportional to 147.58, 221.15 and 132.28 is: 198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.58 : 221.15 = 132.28 : x
  2. Step 2: Convert to fraction form
    147.58/221.15 = 132.28/x
  3. Step 3: Cross multiply
    147.58x = 221.15 × 132.28
  4. Step 4: Simplify right side
    147.58x = 29,253.06
  5. Step 5: Solve for x
    x = 29,253.06/147.58
  6. Step 6: Final answer
    x = 198.22

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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.