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Finding the Fourth Proportional to 255.93, 353.16 and 200.80

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Solution

The fourth proportional to 255.93, 353.16 and 200.80 is: 277.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.93 : 353.16 = 200.80 : x
  2. Step 2: Convert to fraction form
    255.93/353.16 = 200.80/x
  3. Step 3: Cross multiply
    255.93x = 353.16 × 200.80
  4. Step 4: Simplify right side
    255.93x = 70,912.98
  5. Step 5: Solve for x
    x = 70,912.98/255.93
  6. Step 6: Final answer
    x = 277.08

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Why These Related Problems?

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