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Finding the Fourth Proportional to 202.75, 279.60 and 132.79

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Solution

The fourth proportional to 202.75, 279.60 and 132.79 is: 183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.75 : 279.60 = 132.79 : x
  2. Step 2: Convert to fraction form
    202.75/279.60 = 132.79/x
  3. Step 3: Cross multiply
    202.75x = 279.60 × 132.79
  4. Step 4: Simplify right side
    202.75x = 37,128.08
  5. Step 5: Solve for x
    x = 37,128.08/202.75
  6. Step 6: Final answer
    x = 183.12

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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.