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Finding the Fourth Proportional to 166.59, 229.89 and 117.55

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Solution

The fourth proportional to 166.59, 229.89 and 117.55 is: 162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.59 : 229.89 = 117.55 : x
  2. Step 2: Convert to fraction form
    166.59/229.89 = 117.55/x
  3. Step 3: Cross multiply
    166.59x = 229.89 × 117.55
  4. Step 4: Simplify right side
    166.59x = 27,024.01
  5. Step 5: Solve for x
    x = 27,024.01/166.59
  6. Step 6: Final answer
    x = 162.22

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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.