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Finding the Fourth Proportional to 166.80, 249.10 and 144.04

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Solution

The fourth proportional to 166.80, 249.10 and 144.04 is: 215.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.80 : 249.10 = 144.04 : x
  2. Step 2: Convert to fraction form
    166.80/249.10 = 144.04/x
  3. Step 3: Cross multiply
    166.80x = 249.10 × 144.04
  4. Step 4: Simplify right side
    166.80x = 35,880.36
  5. Step 5: Solve for x
    x = 35,880.36/166.80
  6. Step 6: Final answer
    x = 215.11

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