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Finding the Fourth Proportional to 166.12, 229.08 and 142.89

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Solution

The fourth proportional to 166.12, 229.08 and 142.89 is: 197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.12 : 229.08 = 142.89 : x
  2. Step 2: Convert to fraction form
    166.12/229.08 = 142.89/x
  3. Step 3: Cross multiply
    166.12x = 229.08 × 142.89
  4. Step 4: Simplify right side
    166.12x = 32,733.24
  5. Step 5: Solve for x
    x = 32,733.24/166.12
  6. Step 6: Final answer
    x = 197.05

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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.