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Finding the Fourth Proportional to 202.49, 279.34 and 132.56

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Solution

The fourth proportional to 202.49, 279.34 and 132.56 is: 182.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.49 : 279.34 = 132.56 : x
  2. Step 2: Convert to fraction form
    202.49/279.34 = 132.56/x
  3. Step 3: Cross multiply
    202.49x = 279.34 × 132.56
  4. Step 4: Simplify right side
    202.49x = 37,029.31
  5. Step 5: Solve for x
    x = 37,029.31/202.49
  6. Step 6: Final answer
    x = 182.87

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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.