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Finding the Fourth Proportional to 289.87, 435.10 and 197.68

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Solution

The fourth proportional to 289.87, 435.10 and 197.68 is: 296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.87 : 435.10 = 197.68 : x
  2. Step 2: Convert to fraction form
    289.87/435.10 = 197.68/x
  3. Step 3: Cross multiply
    289.87x = 435.10 × 197.68
  4. Step 4: Simplify right side
    289.87x = 86,010.57
  5. Step 5: Solve for x
    x = 86,010.57/289.87
  6. Step 6: Final answer
    x = 296.72

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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.