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Finding the Fourth Proportional to 280.78, 387.56 and 197.90

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Solution

The fourth proportional to 280.78, 387.56 and 197.90 is: 273.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.78 : 387.56 = 197.90 : x
  2. Step 2: Convert to fraction form
    280.78/387.56 = 197.90/x
  3. Step 3: Cross multiply
    280.78x = 387.56 × 197.90
  4. Step 4: Simplify right side
    280.78x = 76,698.12
  5. Step 5: Solve for x
    x = 76,698.12/280.78
  6. Step 6: Final answer
    x = 273.16

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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.