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Finding the Fourth Proportional to 147.52, 220.96 and 118.56

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Solution

The fourth proportional to 147.52, 220.96 and 118.56 is: 177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.52 : 220.96 = 118.56 : x
  2. Step 2: Convert to fraction form
    147.52/220.96 = 118.56/x
  3. Step 3: Cross multiply
    147.52x = 220.96 × 118.56
  4. Step 4: Simplify right side
    147.52x = 26,197.02
  5. Step 5: Solve for x
    x = 26,197.02/147.52
  6. Step 6: Final answer
    x = 177.58

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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.