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Finding the Fourth Proportional to 161.29, 242.01 and 131.20

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Solution

The fourth proportional to 161.29, 242.01 and 131.20 is: 196.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.29 : 242.01 = 131.20 : x
  2. Step 2: Convert to fraction form
    161.29/242.01 = 131.20/x
  3. Step 3: Cross multiply
    161.29x = 242.01 × 131.20
  4. Step 4: Simplify right side
    161.29x = 31,751.71
  5. Step 5: Solve for x
    x = 31,751.71/161.29
  6. Step 6: Final answer
    x = 196.86

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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.