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Finding the Fourth Proportional to 409.76, 614.64 and 166.23

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Solution

The fourth proportional to 409.76, 614.64 and 166.23 is: 249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.76 : 614.64 = 166.23 : x
  2. Step 2: Convert to fraction form
    409.76/614.64 = 166.23/x
  3. Step 3: Cross multiply
    409.76x = 614.64 × 166.23
  4. Step 4: Simplify right side
    409.76x = 102,169.57
  5. Step 5: Solve for x
    x = 102,169.57/409.76
  6. Step 6: Final answer
    x = 249.34

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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.