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Finding the Fourth Proportional to 198.47, 297.71 and 52.21

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Solution

The fourth proportional to 198.47, 297.71 and 52.21 is: 78.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.47 : 297.71 = 52.21 : x
  2. Step 2: Convert to fraction form
    198.47/297.71 = 52.21/x
  3. Step 3: Cross multiply
    198.47x = 297.71 × 52.21
  4. Step 4: Simplify right side
    198.47x = 15,543.75
  5. Step 5: Solve for x
    x = 15,543.75/198.47
  6. Step 6: Final answer
    x = 78.32

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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.