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Finding the Fourth Proportional to 166.80, 229.76 and 143.36

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Solution

The fourth proportional to 166.80, 229.76 and 143.36 is: 197.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.80 : 229.76 = 143.36 : x
  2. Step 2: Convert to fraction form
    166.80/229.76 = 143.36/x
  3. Step 3: Cross multiply
    166.80x = 229.76 × 143.36
  4. Step 4: Simplify right side
    166.80x = 32,938.39
  5. Step 5: Solve for x
    x = 32,938.39/166.80
  6. Step 6: Final answer
    x = 197.47

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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.