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Finding the Fourth Proportional to 166.32, 229.84 and 141.41

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Solution

The fourth proportional to 166.32, 229.84 and 141.41 is: 195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.32 : 229.84 = 141.41 : x
  2. Step 2: Convert to fraction form
    166.32/229.84 = 141.41/x
  3. Step 3: Cross multiply
    166.32x = 229.84 × 141.41
  4. Step 4: Simplify right side
    166.32x = 32,501.90
  5. Step 5: Solve for x
    x = 32,501.90/166.32
  6. Step 6: Final answer
    x = 195.42

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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.