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Finding the Fourth Proportional to 338.68, 508.11 and 122.23

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Solution

The fourth proportional to 338.68, 508.11 and 122.23 is: 183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.68 : 508.11 = 122.23 : x
  2. Step 2: Convert to fraction form
    338.68/508.11 = 122.23/x
  3. Step 3: Cross multiply
    338.68x = 508.11 × 122.23
  4. Step 4: Simplify right side
    338.68x = 62,106.29
  5. Step 5: Solve for x
    x = 62,106.29/338.68
  6. Step 6: Final answer
    x = 183.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.