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Finding the Fourth Proportional to 202.49, 279.40 and 115.14

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Solution

The fourth proportional to 202.49, 279.40 and 115.14 is: 158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.49 : 279.40 = 115.14 : x
  2. Step 2: Convert to fraction form
    202.49/279.40 = 115.14/x
  3. Step 3: Cross multiply
    202.49x = 279.40 × 115.14
  4. Step 4: Simplify right side
    202.49x = 32,170.12
  5. Step 5: Solve for x
    x = 32,170.12/202.49
  6. Step 6: Final answer
    x = 158.87

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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.