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Finding the Fourth Proportional to 335.30, 502.90 and 91.78

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Solution

The fourth proportional to 335.30, 502.90 and 91.78 is: 137.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.30 : 502.90 = 91.78 : x
  2. Step 2: Convert to fraction form
    335.30/502.90 = 91.78/x
  3. Step 3: Cross multiply
    335.30x = 502.90 × 91.78
  4. Step 4: Simplify right side
    335.30x = 46,154.68
  5. Step 5: Solve for x
    x = 46,154.68/335.30
  6. Step 6: Final answer
    x = 137.65

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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.