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Finding the Fourth Proportional to 280.57, 387.25 and 164.20

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Solution

The fourth proportional to 280.57, 387.25 and 164.20 is: 226.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.57 : 387.25 = 164.20 : x
  2. Step 2: Convert to fraction form
    280.57/387.25 = 164.20/x
  3. Step 3: Cross multiply
    280.57x = 387.25 × 164.20
  4. Step 4: Simplify right side
    280.57x = 63,586.45
  5. Step 5: Solve for x
    x = 63,586.45/280.57
  6. Step 6: Final answer
    x = 226.63

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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.