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Finding the Fourth Proportional to 265.39, 396.85 and 196.24

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Solution

The fourth proportional to 265.39, 396.85 and 196.24 is: 293.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.39 : 396.85 = 196.24 : x
  2. Step 2: Convert to fraction form
    265.39/396.85 = 196.24/x
  3. Step 3: Cross multiply
    265.39x = 396.85 × 196.24
  4. Step 4: Simplify right side
    265.39x = 77,877.84
  5. Step 5: Solve for x
    x = 77,877.84/265.39
  6. Step 6: Final answer
    x = 293.45

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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.