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Finding the Fourth Proportional to 280.95, 387.69 and 182.71

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Solution

The fourth proportional to 280.95, 387.69 and 182.71 is: 252.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.95 : 387.69 = 182.71 : x
  2. Step 2: Convert to fraction form
    280.95/387.69 = 182.71/x
  3. Step 3: Cross multiply
    280.95x = 387.69 × 182.71
  4. Step 4: Simplify right side
    280.95x = 70,834.84
  5. Step 5: Solve for x
    x = 70,834.84/280.95
  6. Step 6: Final answer
    x = 252.13

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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.