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Finding the Fourth Proportional to 288.09, 432.81 and 196.56

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Solution

The fourth proportional to 288.09, 432.81 and 196.56 is: 295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.09 : 432.81 = 196.56 : x
  2. Step 2: Convert to fraction form
    288.09/432.81 = 196.56/x
  3. Step 3: Cross multiply
    288.09x = 432.81 × 196.56
  4. Step 4: Simplify right side
    288.09x = 85,073.13
  5. Step 5: Solve for x
    x = 85,073.13/288.09
  6. Step 6: Final answer
    x = 295.30

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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.