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Finding the Fourth Proportional to 255.11, 382.70 and 139.48

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Solution

The fourth proportional to 255.11, 382.70 and 139.48 is: 209.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.11 : 382.70 = 139.48 : x
  2. Step 2: Convert to fraction form
    255.11/382.70 = 139.48/x
  3. Step 3: Cross multiply
    255.11x = 382.70 × 139.48
  4. Step 4: Simplify right side
    255.11x = 53,378.39
  5. Step 5: Solve for x
    x = 53,378.39/255.11
  6. Step 6: Final answer
    x = 209.24

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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.