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Finding the Fourth Proportional to 410.00, 615 and 166.49

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Solution

The fourth proportional to 410.00, 615 and 166.49 is: 249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.00 : 615 = 166.49 : x
  2. Step 2: Convert to fraction form
    410.00/615 = 166.49/x
  3. Step 3: Cross multiply
    410.00x = 615 × 166.49
  4. Step 4: Simplify right side
    410.00x = 102,388.28
  5. Step 5: Solve for x
    x = 102,388.28/410.00
  6. Step 6: Final answer
    x = 249.73

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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.