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Finding the Fourth Proportional to 338.27, 507.41 and 94.82

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Solution

The fourth proportional to 338.27, 507.41 and 94.82 is: 142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.27 : 507.41 = 94.82 : x
  2. Step 2: Convert to fraction form
    338.27/507.41 = 94.82/x
  3. Step 3: Cross multiply
    338.27x = 507.41 × 94.82
  4. Step 4: Simplify right side
    338.27x = 48,109.61
  5. Step 5: Solve for x
    x = 48,109.61/338.27
  6. Step 6: Final answer
    x = 142.22

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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.