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Finding the Fourth Proportional to 263.81, 363.93 and 197.30

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Solution

The fourth proportional to 263.81, 363.93 and 197.30 is: 272.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.81 : 363.93 = 197.30 : x
  2. Step 2: Convert to fraction form
    263.81/363.93 = 197.30/x
  3. Step 3: Cross multiply
    263.81x = 363.93 × 197.30
  4. Step 4: Simplify right side
    263.81x = 71,805.16
  5. Step 5: Solve for x
    x = 71,805.16/263.81
  6. Step 6: Final answer
    x = 272.19

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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.