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Finding the Fourth Proportional to 280.82, 387.46 and 175.96

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Solution

The fourth proportional to 280.82, 387.46 and 175.96 is: 242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.82 : 387.46 = 175.96 : x
  2. Step 2: Convert to fraction form
    280.82/387.46 = 175.96/x
  3. Step 3: Cross multiply
    280.82x = 387.46 × 175.96
  4. Step 4: Simplify right side
    280.82x = 68,178.17
  5. Step 5: Solve for x
    x = 68,178.17/280.82
  6. Step 6: Final answer
    x = 242.78

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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.