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Finding the Fourth Proportional to 313.22, 469.94 and 197.75

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Solution

The fourth proportional to 313.22, 469.94 and 197.75 is: 296.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.22 : 469.94 = 197.75 : x
  2. Step 2: Convert to fraction form
    313.22/469.94 = 197.75/x
  3. Step 3: Cross multiply
    313.22x = 469.94 × 197.75
  4. Step 4: Simplify right side
    313.22x = 92,930.82
  5. Step 5: Solve for x
    x = 92,930.82/313.22
  6. Step 6: Final answer
    x = 296.69

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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.