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Finding the Fourth Proportional to 255.44, 351 and 208.72

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Solution

The fourth proportional to 255.44, 351 and 208.72 is: 286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.44 : 351 = 208.72 : x
  2. Step 2: Convert to fraction form
    255.44/351 = 208.72/x
  3. Step 3: Cross multiply
    255.44x = 351 × 208.72
  4. Step 4: Simplify right side
    255.44x = 73,260.72
  5. Step 5: Solve for x
    x = 73,260.72/255.44
  6. Step 6: Final answer
    x = 286.80

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.