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Finding the Fourth Proportional to 255.07, 382.20 and 139.51

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Solution

The fourth proportional to 255.07, 382.20 and 139.51 is: 209.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.07 : 382.20 = 139.51 : x
  2. Step 2: Convert to fraction form
    255.07/382.20 = 139.51/x
  3. Step 3: Cross multiply
    255.07x = 382.20 × 139.51
  4. Step 4: Simplify right side
    255.07x = 53,320.72
  5. Step 5: Solve for x
    x = 53,320.72/255.07
  6. Step 6: Final answer
    x = 209.04

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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.