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Finding the Fourth Proportional to 289.71, 399.87 and 191.84

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Solution

The fourth proportional to 289.71, 399.87 and 191.84 is: 264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.71 : 399.87 = 191.84 : x
  2. Step 2: Convert to fraction form
    289.71/399.87 = 191.84/x
  3. Step 3: Cross multiply
    289.71x = 399.87 × 191.84
  4. Step 4: Simplify right side
    289.71x = 76,709.06
  5. Step 5: Solve for x
    x = 76,709.06/289.71
  6. Step 6: Final answer
    x = 264.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.