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Finding the Fourth Proportional to 288, 431.73 and 196.47

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Solution

The fourth proportional to 288, 431.73 and 196.47 is: 294.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    288 : 431.73 = 196.47 : x
  2. Step 2: Convert to fraction form
    288/431.73 = 196.47/x
  3. Step 3: Cross multiply
    288x = 431.73 × 196.47
  4. Step 4: Simplify right side
    288x = 84,821.99
  5. Step 5: Solve for x
    x = 84,821.99/288
  6. Step 6: Final answer
    x = 294.52

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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.