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Finding the Fourth Proportional to 289.25, 432.96 and 198.12

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Solution

The fourth proportional to 289.25, 432.96 and 198.12 is: 296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.25 : 432.96 = 198.12 : x
  2. Step 2: Convert to fraction form
    289.25/432.96 = 198.12/x
  3. Step 3: Cross multiply
    289.25x = 432.96 × 198.12
  4. Step 4: Simplify right side
    289.25x = 85,780.03
  5. Step 5: Solve for x
    x = 85,780.03/289.25
  6. Step 6: Final answer
    x = 296.56

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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.