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Finding the Fourth Proportional to 202.70, 279.61 and 132.66

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Solution

The fourth proportional to 202.70, 279.61 and 132.66 is: 182.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.70 : 279.61 = 132.66 : x
  2. Step 2: Convert to fraction form
    202.70/279.61 = 132.66/x
  3. Step 3: Cross multiply
    202.70x = 279.61 × 132.66
  4. Step 4: Simplify right side
    202.70x = 37,092.73
  5. Step 5: Solve for x
    x = 37,092.73/202.70
  6. Step 6: Final answer
    x = 182.99

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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.