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Finding the Fourth Proportional to 197.59, 272.52 and 191.23

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Solution

The fourth proportional to 197.59, 272.52 and 191.23 is: 263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.59 : 272.52 = 191.23 : x
  2. Step 2: Convert to fraction form
    197.59/272.52 = 191.23/x
  3. Step 3: Cross multiply
    197.59x = 272.52 × 191.23
  4. Step 4: Simplify right side
    197.59x = 52,114.00
  5. Step 5: Solve for x
    x = 52,114.00/197.59
  6. Step 6: Final answer
    x = 263.75

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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.