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Finding the Fourth Proportional to 288.87, 398.79 and 185.43

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Solution

The fourth proportional to 288.87, 398.79 and 185.43 is: 255.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.87 : 398.79 = 185.43 : x
  2. Step 2: Convert to fraction form
    288.87/398.79 = 185.43/x
  3. Step 3: Cross multiply
    288.87x = 398.79 × 185.43
  4. Step 4: Simplify right side
    288.87x = 73,947.63
  5. Step 5: Solve for x
    x = 73,947.63/288.87
  6. Step 6: Final answer
    x = 255.99

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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.