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Finding the Fourth Proportional to 255.75, 385.49 and 239.05

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Solution

The fourth proportional to 255.75, 385.49 and 239.05 is: 360.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.75 : 385.49 = 239.05 : x
  2. Step 2: Convert to fraction form
    255.75/385.49 = 239.05/x
  3. Step 3: Cross multiply
    255.75x = 385.49 × 239.05
  4. Step 4: Simplify right side
    255.75x = 92,151.38
  5. Step 5: Solve for x
    x = 92,151.38/255.75
  6. Step 6: Final answer
    x = 360.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.