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Finding the Fourth Proportional to 195.90, 294.06 and 159.76

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Solution

The fourth proportional to 195.90, 294.06 and 159.76 is: 239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.90 : 294.06 = 159.76 : x
  2. Step 2: Convert to fraction form
    195.90/294.06 = 159.76/x
  3. Step 3: Cross multiply
    195.90x = 294.06 × 159.76
  4. Step 4: Simplify right side
    195.90x = 46,979.03
  5. Step 5: Solve for x
    x = 46,979.03/195.90
  6. Step 6: Final answer
    x = 239.81

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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.