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Finding the Fourth Proportional to 242.82, 335.13 and 180.57

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Solution

The fourth proportional to 242.82, 335.13 and 180.57 is: 249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.82 : 335.13 = 180.57 : x
  2. Step 2: Convert to fraction form
    242.82/335.13 = 180.57/x
  3. Step 3: Cross multiply
    242.82x = 335.13 × 180.57
  4. Step 4: Simplify right side
    242.82x = 60,514.42
  5. Step 5: Solve for x
    x = 60,514.42/242.82
  6. Step 6: Final answer
    x = 249.22

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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.