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Finding the Fourth Proportional to 242.76, 334.92 and 159.80

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Solution

The fourth proportional to 242.76, 334.92 and 159.80 is: 220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.76 : 334.92 = 159.80 : x
  2. Step 2: Convert to fraction form
    242.76/334.92 = 159.80/x
  3. Step 3: Cross multiply
    242.76x = 334.92 × 159.80
  4. Step 4: Simplify right side
    242.76x = 53,520.22
  5. Step 5: Solve for x
    x = 53,520.22/242.76
  6. Step 6: Final answer
    x = 220.47

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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.