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Finding the Fourth Proportional to 202.82, 279.92 and 115.48

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Solution

The fourth proportional to 202.82, 279.92 and 115.48 is: 159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.82 : 279.92 = 115.48 : x
  2. Step 2: Convert to fraction form
    202.82/279.92 = 115.48/x
  3. Step 3: Cross multiply
    202.82x = 279.92 × 115.48
  4. Step 4: Simplify right side
    202.82x = 32,325.16
  5. Step 5: Solve for x
    x = 32,325.16/202.82
  6. Step 6: Final answer
    x = 159.38

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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.