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Finding the Fourth Proportional to 410.00, 614.99 and 166.37

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Solution

The fourth proportional to 410.00, 614.99 and 166.37 is: 249.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.00 : 614.99 = 166.37 : x
  2. Step 2: Convert to fraction form
    410.00/614.99 = 166.37/x
  3. Step 3: Cross multiply
    410.00x = 614.99 × 166.37
  4. Step 4: Simplify right side
    410.00x = 102,311.98
  5. Step 5: Solve for x
    x = 102,311.98/410.00
  6. Step 6: Final answer
    x = 249.54

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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.