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Finding the Fourth Proportional to 179.72, 247.96 and 109.77

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Solution

The fourth proportional to 179.72, 247.96 and 109.77 is: 151.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.72 : 247.96 = 109.77 : x
  2. Step 2: Convert to fraction form
    179.72/247.96 = 109.77/x
  3. Step 3: Cross multiply
    179.72x = 247.96 × 109.77
  4. Step 4: Simplify right side
    179.72x = 27,217.33
  5. Step 5: Solve for x
    x = 27,217.33/179.72
  6. Step 6: Final answer
    x = 151.45

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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.