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Finding the Fourth Proportional to 161.38, 242.08 and 141.04

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Solution

The fourth proportional to 161.38, 242.08 and 141.04 is: 211.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.38 : 242.08 = 141.04 : x
  2. Step 2: Convert to fraction form
    161.38/242.08 = 141.04/x
  3. Step 3: Cross multiply
    161.38x = 242.08 × 141.04
  4. Step 4: Simplify right side
    161.38x = 34,142.96
  5. Step 5: Solve for x
    x = 34,142.96/161.38
  6. Step 6: Final answer
    x = 211.57

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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.