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Finding the Fourth Proportional to 147.28, 220.68 and 131.20

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Solution

The fourth proportional to 147.28, 220.68 and 131.20 is: 196.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.28 : 220.68 = 131.20 : x
  2. Step 2: Convert to fraction form
    147.28/220.68 = 131.20/x
  3. Step 3: Cross multiply
    147.28x = 220.68 × 131.20
  4. Step 4: Simplify right side
    147.28x = 28,953.22
  5. Step 5: Solve for x
    x = 28,953.22/147.28
  6. Step 6: Final answer
    x = 196.59

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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.