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Finding the Fourth Proportional to 280.67, 387.33 and 164.30

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Solution

The fourth proportional to 280.67, 387.33 and 164.30 is: 226.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.67 : 387.33 = 164.30 : x
  2. Step 2: Convert to fraction form
    280.67/387.33 = 164.30/x
  3. Step 3: Cross multiply
    280.67x = 387.33 × 164.30
  4. Step 4: Simplify right side
    280.67x = 63,638.32
  5. Step 5: Solve for x
    x = 63,638.32/280.67
  6. Step 6: Final answer
    x = 226.74

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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.