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Finding the Fourth Proportional to 289.17, 399.09 and 191.12

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Solution

The fourth proportional to 289.17, 399.09 and 191.12 is: 263.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.17 : 399.09 = 191.12 : x
  2. Step 2: Convert to fraction form
    289.17/399.09 = 191.12/x
  3. Step 3: Cross multiply
    289.17x = 399.09 × 191.12
  4. Step 4: Simplify right side
    289.17x = 76,274.08
  5. Step 5: Solve for x
    x = 76,274.08/289.17
  6. Step 6: Final answer
    x = 263.77

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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.