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Finding the Fourth Proportional to 255.04, 351.76 and 195.88

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Solution

The fourth proportional to 255.04, 351.76 and 195.88 is: 270.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.04 : 351.76 = 195.88 : x
  2. Step 2: Convert to fraction form
    255.04/351.76 = 195.88/x
  3. Step 3: Cross multiply
    255.04x = 351.76 × 195.88
  4. Step 4: Simplify right side
    255.04x = 68,902.75
  5. Step 5: Solve for x
    x = 68,902.75/255.04
  6. Step 6: Final answer
    x = 270.16

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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.