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Finding the Fourth Proportional to 198.52, 297.42 and 147.28

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Solution

The fourth proportional to 198.52, 297.42 and 147.28 is: 220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.52 : 297.42 = 147.28 : x
  2. Step 2: Convert to fraction form
    198.52/297.42 = 147.28/x
  3. Step 3: Cross multiply
    198.52x = 297.42 × 147.28
  4. Step 4: Simplify right side
    198.52x = 43,804.02
  5. Step 5: Solve for x
    x = 43,804.02/198.52
  6. Step 6: Final answer
    x = 220.65

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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.