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Finding the Fourth Proportional to 255.24, 382.92 and 139.65

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Solution

The fourth proportional to 255.24, 382.92 and 139.65 is: 209.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.24 : 382.92 = 139.65 : x
  2. Step 2: Convert to fraction form
    255.24/382.92 = 139.65/x
  3. Step 3: Cross multiply
    255.24x = 382.92 × 139.65
  4. Step 4: Simplify right side
    255.24x = 53,474.78
  5. Step 5: Solve for x
    x = 53,474.78/255.24
  6. Step 6: Final answer
    x = 209.51

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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.