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Finding the Fourth Proportional to 179.62, 247.75 and 105.91

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Solution

The fourth proportional to 179.62, 247.75 and 105.91 is: 146.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.62 : 247.75 = 105.91 : x
  2. Step 2: Convert to fraction form
    179.62/247.75 = 105.91/x
  3. Step 3: Cross multiply
    179.62x = 247.75 × 105.91
  4. Step 4: Simplify right side
    179.62x = 26,239.20
  5. Step 5: Solve for x
    x = 26,239.20/179.62
  6. Step 6: Final answer
    x = 146.08

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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.