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Finding the Fourth Proportional to 249.38, 342.55 and 202.55

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Solution

The fourth proportional to 249.38, 342.55 and 202.55 is: 278.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.38 : 342.55 = 202.55 : x
  2. Step 2: Convert to fraction form
    249.38/342.55 = 202.55/x
  3. Step 3: Cross multiply
    249.38x = 342.55 × 202.55
  4. Step 4: Simplify right side
    249.38x = 69,383.50
  5. Step 5: Solve for x
    x = 69,383.50/249.38
  6. Step 6: Final answer
    x = 278.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.