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Finding the Fourth Proportional to 313.73, 469.67 and 197.82

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Solution

The fourth proportional to 313.73, 469.67 and 197.82 is: 296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.73 : 469.67 = 197.82 : x
  2. Step 2: Convert to fraction form
    313.73/469.67 = 197.82/x
  3. Step 3: Cross multiply
    313.73x = 469.67 × 197.82
  4. Step 4: Simplify right side
    313.73x = 92,910.12
  5. Step 5: Solve for x
    x = 92,910.12/313.73
  6. Step 6: Final answer
    x = 296.15

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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.