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Finding the Fourth Proportional to 410.13, 614.94 and 166.38

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Solution

The fourth proportional to 410.13, 614.94 and 166.38 is: 249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.13 : 614.94 = 166.38 : x
  2. Step 2: Convert to fraction form
    410.13/614.94 = 166.38/x
  3. Step 3: Cross multiply
    410.13x = 614.94 × 166.38
  4. Step 4: Simplify right side
    410.13x = 102,313.72
  5. Step 5: Solve for x
    x = 102,313.72/410.13
  6. Step 6: Final answer
    x = 249.47

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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.