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Finding the Fourth Proportional to 288.39, 431.78 and 196.95

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Solution

The fourth proportional to 288.39, 431.78 and 196.95 is: 294.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.39 : 431.78 = 196.95 : x
  2. Step 2: Convert to fraction form
    288.39/431.78 = 196.95/x
  3. Step 3: Cross multiply
    288.39x = 431.78 × 196.95
  4. Step 4: Simplify right side
    288.39x = 85,038.09
  5. Step 5: Solve for x
    x = 85,038.09/288.39
  6. Step 6: Final answer
    x = 294.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.