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Finding the Fourth Proportional to 179.47, 247.70 and 117.26

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Solution

The fourth proportional to 179.47, 247.70 and 117.26 is: 161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.47 : 247.70 = 117.26 : x
  2. Step 2: Convert to fraction form
    179.47/247.70 = 117.26/x
  3. Step 3: Cross multiply
    179.47x = 247.70 × 117.26
  4. Step 4: Simplify right side
    179.47x = 29,044.26
  5. Step 5: Solve for x
    x = 29,044.26/179.47
  6. Step 6: Final answer
    x = 161.83

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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.