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Finding the Fourth Proportional to 263.79, 363.67 and 197.50

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Solution

The fourth proportional to 263.79, 363.67 and 197.50 is: 272.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.79 : 363.67 = 197.50 : x
  2. Step 2: Convert to fraction form
    263.79/363.67 = 197.50/x
  3. Step 3: Cross multiply
    263.79x = 363.67 × 197.50
  4. Step 4: Simplify right side
    263.79x = 71,823.01
  5. Step 5: Solve for x
    x = 71,823.01/263.79
  6. Step 6: Final answer
    x = 272.27

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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.