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Finding the Fourth Proportional to 179.04, 247.10 and 111.78

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Solution

The fourth proportional to 179.04, 247.10 and 111.78 is: 154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.04 : 247.10 = 111.78 : x
  2. Step 2: Convert to fraction form
    179.04/247.10 = 111.78/x
  3. Step 3: Cross multiply
    179.04x = 247.10 × 111.78
  4. Step 4: Simplify right side
    179.04x = 27,620.28
  5. Step 5: Solve for x
    x = 27,620.28/179.04
  6. Step 6: Final answer
    x = 154.27

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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.