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Finding the Fourth Proportional to 280.75, 387.47 and 164.41

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Solution

The fourth proportional to 280.75, 387.47 and 164.41 is: 226.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.75 : 387.47 = 164.41 : x
  2. Step 2: Convert to fraction form
    280.75/387.47 = 164.41/x
  3. Step 3: Cross multiply
    280.75x = 387.47 × 164.41
  4. Step 4: Simplify right side
    280.75x = 63,703.12
  5. Step 5: Solve for x
    x = 63,703.12/280.75
  6. Step 6: Final answer
    x = 226.90

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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.