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Finding the Fourth Proportional to 166.78, 229.34 and 148.33

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Solution

The fourth proportional to 166.78, 229.34 and 148.33 is: 203.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.78 : 229.34 = 148.33 : x
  2. Step 2: Convert to fraction form
    166.78/229.34 = 148.33/x
  3. Step 3: Cross multiply
    166.78x = 229.34 × 148.33
  4. Step 4: Simplify right side
    166.78x = 34,016.11
  5. Step 5: Solve for x
    x = 34,016.11/166.78
  6. Step 6: Final answer
    x = 203.96

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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.