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Finding the Fourth Proportional to 338.15, 507.38 and 107.07

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Solution

The fourth proportional to 338.15, 507.38 and 107.07 is: 160.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.15 : 507.38 = 107.07 : x
  2. Step 2: Convert to fraction form
    338.15/507.38 = 107.07/x
  3. Step 3: Cross multiply
    338.15x = 507.38 × 107.07
  4. Step 4: Simplify right side
    338.15x = 54,324.64
  5. Step 5: Solve for x
    x = 54,324.64/338.15
  6. Step 6: Final answer
    x = 160.65

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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.