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Finding the Fourth Proportional to 147.56, 222.11 and 129.92

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Solution

The fourth proportional to 147.56, 222.11 and 129.92 is: 195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.56 : 222.11 = 129.92 : x
  2. Step 2: Convert to fraction form
    147.56/222.11 = 129.92/x
  3. Step 3: Cross multiply
    147.56x = 222.11 × 129.92
  4. Step 4: Simplify right side
    147.56x = 28,856.53
  5. Step 5: Solve for x
    x = 28,856.53/147.56
  6. Step 6: Final answer
    x = 195.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.