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Finding the Fourth Proportional to 242.14, 362.91 and 161.05

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Solution

The fourth proportional to 242.14, 362.91 and 161.05 is: 241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.14 : 362.91 = 161.05 : x
  2. Step 2: Convert to fraction form
    242.14/362.91 = 161.05/x
  3. Step 3: Cross multiply
    242.14x = 362.91 × 161.05
  4. Step 4: Simplify right side
    242.14x = 58,446.66
  5. Step 5: Solve for x
    x = 58,446.66/242.14
  6. Step 6: Final answer
    x = 241.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.