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Finding the Fourth Proportional to 202.57, 279.48 and 115.22

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Solution

The fourth proportional to 202.57, 279.48 and 115.22 is: 158.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.57 : 279.48 = 115.22 : x
  2. Step 2: Convert to fraction form
    202.57/279.48 = 115.22/x
  3. Step 3: Cross multiply
    202.57x = 279.48 × 115.22
  4. Step 4: Simplify right side
    202.57x = 32,201.69
  5. Step 5: Solve for x
    x = 32,201.69/202.57
  6. Step 6: Final answer
    x = 158.97

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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.