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Finding the Fourth Proportional to 263.66, 363.47 and 193.73

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Solution

The fourth proportional to 263.66, 363.47 and 193.73 is: 267.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.66 : 363.47 = 193.73 : x
  2. Step 2: Convert to fraction form
    263.66/363.47 = 193.73/x
  3. Step 3: Cross multiply
    263.66x = 363.47 × 193.73
  4. Step 4: Simplify right side
    263.66x = 70,412.26
  5. Step 5: Solve for x
    x = 70,412.26/263.66
  6. Step 6: Final answer
    x = 267.06

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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.