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Finding the Fourth Proportional to 280.70, 387.52 and 193.84

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Solution

The fourth proportional to 280.70, 387.52 and 193.84 is: 267.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.70 : 387.52 = 193.84 : x
  2. Step 2: Convert to fraction form
    280.70/387.52 = 193.84/x
  3. Step 3: Cross multiply
    280.70x = 387.52 × 193.84
  4. Step 4: Simplify right side
    280.70x = 75,116.88
  5. Step 5: Solve for x
    x = 75,116.88/280.70
  6. Step 6: Final answer
    x = 267.61

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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.