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Finding the Fourth Proportional to 263.47, 363.59 and 197.09

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Solution

The fourth proportional to 263.47, 363.59 and 197.09 is: 271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.47 : 363.59 = 197.09 : x
  2. Step 2: Convert to fraction form
    263.47/363.59 = 197.09/x
  3. Step 3: Cross multiply
    263.47x = 363.59 × 197.09
  4. Step 4: Simplify right side
    263.47x = 71,658.36
  5. Step 5: Solve for x
    x = 71,658.36/263.47
  6. Step 6: Final answer
    x = 271.98

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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.