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Finding the Fourth Proportional to 202.51, 279.46 and 132.52

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Solution

The fourth proportional to 202.51, 279.46 and 132.52 is: 182.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.51 : 279.46 = 132.52 : x
  2. Step 2: Convert to fraction form
    202.51/279.46 = 132.52/x
  3. Step 3: Cross multiply
    202.51x = 279.46 × 132.52
  4. Step 4: Simplify right side
    202.51x = 37,034.04
  5. Step 5: Solve for x
    x = 37,034.04/202.51
  6. Step 6: Final answer
    x = 182.88

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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.