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Finding the Fourth Proportional to 242.42, 334.69 and 159.66

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Solution

The fourth proportional to 242.42, 334.69 and 159.66 is: 220.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.42 : 334.69 = 159.66 : x
  2. Step 2: Convert to fraction form
    242.42/334.69 = 159.66/x
  3. Step 3: Cross multiply
    242.42x = 334.69 × 159.66
  4. Step 4: Simplify right side
    242.42x = 53,438.98
  5. Step 5: Solve for x
    x = 53,438.98/242.42
  6. Step 6: Final answer
    x = 220.44

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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.