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Finding the Fourth Proportional to 242.80, 335.17 and 159.91

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Solution

The fourth proportional to 242.80, 335.17 and 159.91 is: 220.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.80 : 335.17 = 159.91 : x
  2. Step 2: Convert to fraction form
    242.80/335.17 = 159.91/x
  3. Step 3: Cross multiply
    242.80x = 335.17 × 159.91
  4. Step 4: Simplify right side
    242.80x = 53,595.36
  5. Step 5: Solve for x
    x = 53,595.36/242.80
  6. Step 6: Final answer
    x = 220.74

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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.