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Finding the Fourth Proportional to 255.66, 351.81 and 205.44

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Solution

The fourth proportional to 255.66, 351.81 and 205.44 is: 282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.66 : 351.81 = 205.44 : x
  2. Step 2: Convert to fraction form
    255.66/351.81 = 205.44/x
  3. Step 3: Cross multiply
    255.66x = 351.81 × 205.44
  4. Step 4: Simplify right side
    255.66x = 72,275.85
  5. Step 5: Solve for x
    x = 72,275.85/255.66
  6. Step 6: Final answer
    x = 282.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.