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Finding the Fourth Proportional to 338.88, 508.10 and 122.43

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Solution

The fourth proportional to 338.88, 508.10 and 122.43 is: 183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.88 : 508.10 = 122.43 : x
  2. Step 2: Convert to fraction form
    338.88/508.10 = 122.43/x
  3. Step 3: Cross multiply
    338.88x = 508.10 × 122.43
  4. Step 4: Simplify right side
    338.88x = 62,206.68
  5. Step 5: Solve for x
    x = 62,206.68/338.88
  6. Step 6: Final answer
    x = 183.57

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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.