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Finding the Fourth Proportional to 338.11, 507.16 and 107.05

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Solution

The fourth proportional to 338.11, 507.16 and 107.05 is: 160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.11 : 507.16 = 107.05 : x
  2. Step 2: Convert to fraction form
    338.11/507.16 = 107.05/x
  3. Step 3: Cross multiply
    338.11x = 507.16 × 107.05
  4. Step 4: Simplify right side
    338.11x = 54,291.48
  5. Step 5: Solve for x
    x = 54,291.48/338.11
  6. Step 6: Final answer
    x = 160.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.