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Finding the Fourth Proportional to 338.57, 507.84 and 107.46

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Solution

The fourth proportional to 338.57, 507.84 and 107.46 is: 161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.57 : 507.84 = 107.46 : x
  2. Step 2: Convert to fraction form
    338.57/507.84 = 107.46/x
  3. Step 3: Cross multiply
    338.57x = 507.84 × 107.46
  4. Step 4: Simplify right side
    338.57x = 54,570.62
  5. Step 5: Solve for x
    x = 54,570.62/338.57
  6. Step 6: Final answer
    x = 161.18

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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.