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Finding the Fourth Proportional to 338.86, 508.43 and 165.43

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Solution

The fourth proportional to 338.86, 508.43 and 165.43 is: 248.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.86 : 508.43 = 165.43 : x
  2. Step 2: Convert to fraction form
    338.86/508.43 = 165.43/x
  3. Step 3: Cross multiply
    338.86x = 508.43 × 165.43
  4. Step 4: Simplify right side
    338.86x = 84,109.57
  5. Step 5: Solve for x
    x = 84,109.57/338.86
  6. Step 6: Final answer
    x = 248.21

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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.