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Finding the Fourth Proportional to 166.20, 249.12 and 102

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Solution

The fourth proportional to 166.20, 249.12 and 102 is: 152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.20 : 249.12 = 102 : x
  2. Step 2: Convert to fraction form
    166.20/249.12 = 102/x
  3. Step 3: Cross multiply
    166.20x = 249.12 × 102
  4. Step 4: Simplify right side
    166.20x = 25,410.24
  5. Step 5: Solve for x
    x = 25,410.24/166.20
  6. Step 6: Final answer
    x = 152.89

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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.