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Finding the Fourth Proportional to 169.67, 233.61 and 130.37

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Solution

The fourth proportional to 169.67, 233.61 and 130.37 is: 179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.67 : 233.61 = 130.37 : x
  2. Step 2: Convert to fraction form
    169.67/233.61 = 130.37/x
  3. Step 3: Cross multiply
    169.67x = 233.61 × 130.37
  4. Step 4: Simplify right side
    169.67x = 30,454.57
  5. Step 5: Solve for x
    x = 30,454.57/169.67
  6. Step 6: Final answer
    x = 179.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.