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Finding the Fourth Proportional to 197.83, 296.82 and 82.25

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Solution

The fourth proportional to 197.83, 296.82 and 82.25 is: 123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.83 : 296.82 = 82.25 : x
  2. Step 2: Convert to fraction form
    197.83/296.82 = 82.25/x
  3. Step 3: Cross multiply
    197.83x = 296.82 × 82.25
  4. Step 4: Simplify right side
    197.83x = 24,411.96
  5. Step 5: Solve for x
    x = 24,411.96/197.83
  6. Step 6: Final answer
    x = 123.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.