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Finding the Fourth Proportional to 166.19, 249.01 and 162.14

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Solution

The fourth proportional to 166.19, 249.01 and 162.14 is: 242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.19 : 249.01 = 162.14 : x
  2. Step 2: Convert to fraction form
    166.19/249.01 = 162.14/x
  3. Step 3: Cross multiply
    166.19x = 249.01 × 162.14
  4. Step 4: Simplify right side
    166.19x = 40,372.83
  5. Step 5: Solve for x
    x = 40,372.83/166.19
  6. Step 6: Final answer
    x = 242.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.