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Finding the Fourth Proportional to 255.35, 382.19 and 139.52

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Solution

The fourth proportional to 255.35, 382.19 and 139.52 is: 208.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.35 : 382.19 = 139.52 : x
  2. Step 2: Convert to fraction form
    255.35/382.19 = 139.52/x
  3. Step 3: Cross multiply
    255.35x = 382.19 × 139.52
  4. Step 4: Simplify right side
    255.35x = 53,323.41
  5. Step 5: Solve for x
    x = 53,323.41/255.35
  6. Step 6: Final answer
    x = 208.82

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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.