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Finding the Fourth Proportional to 202.57, 279.46 and 132.61

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Solution

The fourth proportional to 202.57, 279.46 and 132.61 is: 182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.57 : 279.46 = 132.61 : x
  2. Step 2: Convert to fraction form
    202.57/279.46 = 132.61/x
  3. Step 3: Cross multiply
    202.57x = 279.46 × 132.61
  4. Step 4: Simplify right side
    202.57x = 37,059.19
  5. Step 5: Solve for x
    x = 37,059.19/202.57
  6. Step 6: Final answer
    x = 182.95

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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.