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Finding the Fourth Proportional to 288.59, 398.12 and 190.31

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Solution

The fourth proportional to 288.59, 398.12 and 190.31 is: 262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.59 : 398.12 = 190.31 : x
  2. Step 2: Convert to fraction form
    288.59/398.12 = 190.31/x
  3. Step 3: Cross multiply
    288.59x = 398.12 × 190.31
  4. Step 4: Simplify right side
    288.59x = 75,763.28
  5. Step 5: Solve for x
    x = 75,763.28/288.59
  6. Step 6: Final answer
    x = 262.53

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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.