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Finding the Fourth Proportional to 195.38, 293.19 and 143.90

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Solution

The fourth proportional to 195.38, 293.19 and 143.90 is: 215.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.38 : 293.19 = 143.90 : x
  2. Step 2: Convert to fraction form
    195.38/293.19 = 143.90/x
  3. Step 3: Cross multiply
    195.38x = 293.19 × 143.90
  4. Step 4: Simplify right side
    195.38x = 42,189.13
  5. Step 5: Solve for x
    x = 42,189.13/195.38
  6. Step 6: Final answer
    x = 215.93

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