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Finding the Fourth Proportional to 263.14, 362.96 and 193.36

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Solution

The fourth proportional to 263.14, 362.96 and 193.36 is: 266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.14 : 362.96 = 193.36 : x
  2. Step 2: Convert to fraction form
    263.14/362.96 = 193.36/x
  3. Step 3: Cross multiply
    263.14x = 362.96 × 193.36
  4. Step 4: Simplify right side
    263.14x = 70,181.95
  5. Step 5: Solve for x
    x = 70,181.95/263.14
  6. Step 6: Final answer
    x = 266.71

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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.