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Finding the Fourth Proportional to 280.82, 387.57 and 164.38

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Solution

The fourth proportional to 280.82, 387.57 and 164.38 is: 226.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.82 : 387.57 = 164.38 : x
  2. Step 2: Convert to fraction form
    280.82/387.57 = 164.38/x
  3. Step 3: Cross multiply
    280.82x = 387.57 × 164.38
  4. Step 4: Simplify right side
    280.82x = 63,707.93
  5. Step 5: Solve for x
    x = 63,707.93/280.82
  6. Step 6: Final answer
    x = 226.87

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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.