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Finding the Fourth Proportional to 179.67, 247.92 and 105.99

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Solution

The fourth proportional to 179.67, 247.92 and 105.99 is: 146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.67 : 247.92 = 105.99 : x
  2. Step 2: Convert to fraction form
    179.67/247.92 = 105.99/x
  3. Step 3: Cross multiply
    179.67x = 247.92 × 105.99
  4. Step 4: Simplify right side
    179.67x = 26,277.04
  5. Step 5: Solve for x
    x = 26,277.04/179.67
  6. Step 6: Final answer
    x = 146.25

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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.