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Finding the Fourth Proportional to 338.25, 507.46 and 107.16

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Solution

The fourth proportional to 338.25, 507.46 and 107.16 is: 160.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.25 : 507.46 = 107.16 : x
  2. Step 2: Convert to fraction form
    338.25/507.46 = 107.16/x
  3. Step 3: Cross multiply
    338.25x = 507.46 × 107.16
  4. Step 4: Simplify right side
    338.25x = 54,379.41
  5. Step 5: Solve for x
    x = 54,379.41/338.25
  6. Step 6: Final answer
    x = 160.77

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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.