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Finding the Fourth Proportional to 166.95, 249.30 and 149.64

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Solution

The fourth proportional to 166.95, 249.30 and 149.64 is: 223.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.95 : 249.30 = 149.64 : x
  2. Step 2: Convert to fraction form
    166.95/249.30 = 149.64/x
  3. Step 3: Cross multiply
    166.95x = 249.30 × 149.64
  4. Step 4: Simplify right side
    166.95x = 37,305.25
  5. Step 5: Solve for x
    x = 37,305.25/166.95
  6. Step 6: Final answer
    x = 223.45

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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.