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Finding the Fourth Proportional to 280.68, 387.36 and 182.52

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Solution

The fourth proportional to 280.68, 387.36 and 182.52 is: 251.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.68 : 387.36 = 182.52 : x
  2. Step 2: Convert to fraction form
    280.68/387.36 = 182.52/x
  3. Step 3: Cross multiply
    280.68x = 387.36 × 182.52
  4. Step 4: Simplify right side
    280.68x = 70,700.95
  5. Step 5: Solve for x
    x = 70,700.95/280.68
  6. Step 6: Final answer
    x = 251.89

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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.