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Finding the Fourth Proportional to 147.56, 220.91 and 137.97

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Solution

The fourth proportional to 147.56, 220.91 and 137.97 is: 206.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.56 : 220.91 = 137.97 : x
  2. Step 2: Convert to fraction form
    147.56/220.91 = 137.97/x
  3. Step 3: Cross multiply
    147.56x = 220.91 × 137.97
  4. Step 4: Simplify right side
    147.56x = 30,478.26
  5. Step 5: Solve for x
    x = 30,478.26/147.56
  6. Step 6: Final answer
    x = 206.56

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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.