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Finding the Fourth Proportional to 179.57, 247.74 and 109.66

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Solution

The fourth proportional to 179.57, 247.74 and 109.66 is: 151.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.57 : 247.74 = 109.66 : x
  2. Step 2: Convert to fraction form
    179.57/247.74 = 109.66/x
  3. Step 3: Cross multiply
    179.57x = 247.74 × 109.66
  4. Step 4: Simplify right side
    179.57x = 27,167.17
  5. Step 5: Solve for x
    x = 27,167.17/179.57
  6. Step 6: Final answer
    x = 151.29

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Why These Related Problems?

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