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Finding the Fourth Proportional to 166.18, 229.26 and 117.04

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Solution

The fourth proportional to 166.18, 229.26 and 117.04 is: 161.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.18 : 229.26 = 117.04 : x
  2. Step 2: Convert to fraction form
    166.18/229.26 = 117.04/x
  3. Step 3: Cross multiply
    166.18x = 229.26 × 117.04
  4. Step 4: Simplify right side
    166.18x = 26,832.59
  5. Step 5: Solve for x
    x = 26,832.59/166.18
  6. Step 6: Final answer
    x = 161.47

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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.