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Finding the Fourth Proportional to 280.78, 387.42 and 164.32

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Solution

The fourth proportional to 280.78, 387.42 and 164.32 is: 226.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.78 : 387.42 = 164.32 : x
  2. Step 2: Convert to fraction form
    280.78/387.42 = 164.32/x
  3. Step 3: Cross multiply
    280.78x = 387.42 × 164.32
  4. Step 4: Simplify right side
    280.78x = 63,660.85
  5. Step 5: Solve for x
    x = 63,660.85/280.78
  6. Step 6: Final answer
    x = 226.73

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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.