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Finding the Fourth Proportional to 161.69, 242.69 and 131.18

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Solution

The fourth proportional to 161.69, 242.69 and 131.18 is: 196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.69 : 242.69 = 131.18 : x
  2. Step 2: Convert to fraction form
    161.69/242.69 = 131.18/x
  3. Step 3: Cross multiply
    161.69x = 242.69 × 131.18
  4. Step 4: Simplify right side
    161.69x = 31,834.20
  5. Step 5: Solve for x
    x = 31,834.20/161.69
  6. Step 6: Final answer
    x = 196.89

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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.