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Finding the Fourth Proportional to 166.65, 250.16 and 132.63

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Solution

The fourth proportional to 166.65, 250.16 and 132.63 is: 199.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.65 : 250.16 = 132.63 : x
  2. Step 2: Convert to fraction form
    166.65/250.16 = 132.63/x
  3. Step 3: Cross multiply
    166.65x = 250.16 × 132.63
  4. Step 4: Simplify right side
    166.65x = 33,178.72
  5. Step 5: Solve for x
    x = 33,178.72/166.65
  6. Step 6: Final answer
    x = 199.09

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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.