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Finding the Fourth Proportional to 195.79, 293.28 and 97.99

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Solution

The fourth proportional to 195.79, 293.28 and 97.99 is: 146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.79 : 293.28 = 97.99 : x
  2. Step 2: Convert to fraction form
    195.79/293.28 = 97.99/x
  3. Step 3: Cross multiply
    195.79x = 293.28 × 97.99
  4. Step 4: Simplify right side
    195.79x = 28,738.51
  5. Step 5: Solve for x
    x = 28,738.51/195.79
  6. Step 6: Final answer
    x = 146.78

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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.