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Finding the Fourth Proportional to 295.75, 407.92 and 197.33

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Solution

The fourth proportional to 295.75, 407.92 and 197.33 is: 272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.75 : 407.92 = 197.33 : x
  2. Step 2: Convert to fraction form
    295.75/407.92 = 197.33/x
  3. Step 3: Cross multiply
    295.75x = 407.92 × 197.33
  4. Step 4: Simplify right side
    295.75x = 80,493.87
  5. Step 5: Solve for x
    x = 80,493.87/295.75
  6. Step 6: Final answer
    x = 272.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.