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Finding the Fourth Proportional to 195.99, 295.41 and 188.70

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Solution

The fourth proportional to 195.99, 295.41 and 188.70 is: 284.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.99 : 295.41 = 188.70 : x
  2. Step 2: Convert to fraction form
    195.99/295.41 = 188.70/x
  3. Step 3: Cross multiply
    195.99x = 295.41 × 188.70
  4. Step 4: Simplify right side
    195.99x = 55,743.47
  5. Step 5: Solve for x
    x = 55,743.47/195.99
  6. Step 6: Final answer
    x = 284.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.