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Finding the Fourth Proportional to 255.52, 382.65 and 139.78

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Solution

The fourth proportional to 255.52, 382.65 and 139.78 is: 209.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.52 : 382.65 = 139.78 : x
  2. Step 2: Convert to fraction form
    255.52/382.65 = 139.78/x
  3. Step 3: Cross multiply
    255.52x = 382.65 × 139.78
  4. Step 4: Simplify right side
    255.52x = 53,486.82
  5. Step 5: Solve for x
    x = 53,486.82/255.52
  6. Step 6: Final answer
    x = 209.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.