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Finding the Fourth Proportional to 166.30, 248.36 and 133.85

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Solution

The fourth proportional to 166.30, 248.36 and 133.85 is: 199.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.30 : 248.36 = 133.85 : x
  2. Step 2: Convert to fraction form
    166.30/248.36 = 133.85/x
  3. Step 3: Cross multiply
    166.30x = 248.36 × 133.85
  4. Step 4: Simplify right side
    166.30x = 33,242.99
  5. Step 5: Solve for x
    x = 33,242.99/166.30
  6. Step 6: Final answer
    x = 199.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.