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Finding the Fourth Proportional to 202.29, 279.14 and 114.97

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Solution

The fourth proportional to 202.29, 279.14 and 114.97 is: 158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.29 : 279.14 = 114.97 : x
  2. Step 2: Convert to fraction form
    202.29/279.14 = 114.97/x
  3. Step 3: Cross multiply
    202.29x = 279.14 × 114.97
  4. Step 4: Simplify right side
    202.29x = 32,092.73
  5. Step 5: Solve for x
    x = 32,092.73/202.29
  6. Step 6: Final answer
    x = 158.65

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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.