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Finding the Fourth Proportional to 198.29, 273.59 and 151.71

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Solution

The fourth proportional to 198.29, 273.59 and 151.71 is: 209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.29 : 273.59 = 151.71 : x
  2. Step 2: Convert to fraction form
    198.29/273.59 = 151.71/x
  3. Step 3: Cross multiply
    198.29x = 273.59 × 151.71
  4. Step 4: Simplify right side
    198.29x = 41,506.34
  5. Step 5: Solve for x
    x = 41,506.34/198.29
  6. Step 6: Final answer
    x = 209.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.