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Finding the Fourth Proportional to 166.94, 230.13 and 148.49

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Solution

The fourth proportional to 166.94, 230.13 and 148.49 is: 204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.94 : 230.13 = 148.49 : x
  2. Step 2: Convert to fraction form
    166.94/230.13 = 148.49/x
  3. Step 3: Cross multiply
    166.94x = 230.13 × 148.49
  4. Step 4: Simplify right side
    166.94x = 34,170.85
  5. Step 5: Solve for x
    x = 34,170.85/166.94
  6. Step 6: Final answer
    x = 204.70

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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.