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Finding the Fourth Proportional to 242.80, 335.04 and 132.27

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Solution

The fourth proportional to 242.80, 335.04 and 132.27 is: 182.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.80 : 335.04 = 132.27 : x
  2. Step 2: Convert to fraction form
    242.80/335.04 = 132.27/x
  3. Step 3: Cross multiply
    242.80x = 335.04 × 132.27
  4. Step 4: Simplify right side
    242.80x = 44,317.49
  5. Step 5: Solve for x
    x = 44,317.49/242.80
  6. Step 6: Final answer
    x = 182.53

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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.