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Finding the Fourth Proportional to 335.19, 502.82 and 115.83

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Solution

The fourth proportional to 335.19, 502.82 and 115.83 is: 173.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.19 : 502.82 = 115.83 : x
  2. Step 2: Convert to fraction form
    335.19/502.82 = 115.83/x
  3. Step 3: Cross multiply
    335.19x = 502.82 × 115.83
  4. Step 4: Simplify right side
    335.19x = 58,241.06
  5. Step 5: Solve for x
    x = 58,241.06/335.19
  6. Step 6: Final answer
    x = 173.76

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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.