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Finding the Fourth Proportional to 409.65, 614.52 and 166.20

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Solution

The fourth proportional to 409.65, 614.52 and 166.20 is: 249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.65 : 614.52 = 166.20 : x
  2. Step 2: Convert to fraction form
    409.65/614.52 = 166.20/x
  3. Step 3: Cross multiply
    409.65x = 614.52 × 166.20
  4. Step 4: Simplify right side
    409.65x = 102,133.22
  5. Step 5: Solve for x
    x = 102,133.22/409.65
  6. Step 6: Final answer
    x = 249.32

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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.