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Finding the Fourth Proportional to 161.80, 242.52 and 129.67

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Solution

The fourth proportional to 161.80, 242.52 and 129.67 is: 194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.80 : 242.52 = 129.67 : x
  2. Step 2: Convert to fraction form
    161.80/242.52 = 129.67/x
  3. Step 3: Cross multiply
    161.80x = 242.52 × 129.67
  4. Step 4: Simplify right side
    161.80x = 31,447.57
  5. Step 5: Solve for x
    x = 31,447.57/161.80
  6. Step 6: Final answer
    x = 194.36

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