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Finding the Fourth Proportional to 166.72, 229.89 and 142.06

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Solution

The fourth proportional to 166.72, 229.89 and 142.06 is: 195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.72 : 229.89 = 142.06 : x
  2. Step 2: Convert to fraction form
    166.72/229.89 = 142.06/x
  3. Step 3: Cross multiply
    166.72x = 229.89 × 142.06
  4. Step 4: Simplify right side
    166.72x = 32,658.17
  5. Step 5: Solve for x
    x = 32,658.17/166.72
  6. Step 6: Final answer
    x = 195.89

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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.