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Finding the Fourth Proportional to 166.45, 249.47 and 148.12

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Solution

The fourth proportional to 166.45, 249.47 and 148.12 is: 221.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.45 : 249.47 = 148.12 : x
  2. Step 2: Convert to fraction form
    166.45/249.47 = 148.12/x
  3. Step 3: Cross multiply
    166.45x = 249.47 × 148.12
  4. Step 4: Simplify right side
    166.45x = 36,950.13
  5. Step 5: Solve for x
    x = 36,950.13/166.45
  6. Step 6: Final answer
    x = 221.99

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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.