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Finding the Fourth Proportional to 179.66, 247.92 and 160.22

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Solution

The fourth proportional to 179.66, 247.92 and 160.22 is: 221.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.66 : 247.92 = 160.22 : x
  2. Step 2: Convert to fraction form
    179.66/247.92 = 160.22/x
  3. Step 3: Cross multiply
    179.66x = 247.92 × 160.22
  4. Step 4: Simplify right side
    179.66x = 39,721.74
  5. Step 5: Solve for x
    x = 39,721.74/179.66
  6. Step 6: Final answer
    x = 221.09

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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.