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Finding the Fourth Proportional to 289.82, 400.06 and 191.54

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Solution

The fourth proportional to 289.82, 400.06 and 191.54 is: 264.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.82 : 400.06 = 191.54 : x
  2. Step 2: Convert to fraction form
    289.82/400.06 = 191.54/x
  3. Step 3: Cross multiply
    289.82x = 400.06 × 191.54
  4. Step 4: Simplify right side
    289.82x = 76,627.49
  5. Step 5: Solve for x
    x = 76,627.49/289.82
  6. Step 6: Final answer
    x = 264.40

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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.