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Finding the Fourth Proportional to 265.34, 396.38 and 191.59

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Solution

The fourth proportional to 265.34, 396.38 and 191.59 is: 286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.34 : 396.38 = 191.59 : x
  2. Step 2: Convert to fraction form
    265.34/396.38 = 191.59/x
  3. Step 3: Cross multiply
    265.34x = 396.38 × 191.59
  4. Step 4: Simplify right side
    265.34x = 75,940.46
  5. Step 5: Solve for x
    x = 75,940.46/265.34
  6. Step 6: Final answer
    x = 286.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.