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Finding the Fourth Proportional to 280.84, 387.58 and 164.42

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Solution

The fourth proportional to 280.84, 387.58 and 164.42 is: 226.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.84 : 387.58 = 164.42 : x
  2. Step 2: Convert to fraction form
    280.84/387.58 = 164.42/x
  3. Step 3: Cross multiply
    280.84x = 387.58 × 164.42
  4. Step 4: Simplify right side
    280.84x = 63,725.90
  5. Step 5: Solve for x
    x = 63,725.90/280.84
  6. Step 6: Final answer
    x = 226.91

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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.