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Finding the Fourth Proportional to 147.21, 220.47 and 116.70

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Solution

The fourth proportional to 147.21, 220.47 and 116.70 is: 174.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.21 : 220.47 = 116.70 : x
  2. Step 2: Convert to fraction form
    147.21/220.47 = 116.70/x
  3. Step 3: Cross multiply
    147.21x = 220.47 × 116.70
  4. Step 4: Simplify right side
    147.21x = 25,728.85
  5. Step 5: Solve for x
    x = 25,728.85/147.21
  6. Step 6: Final answer
    x = 174.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.