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Finding the Fourth Proportional to 338.93, 508.07 and 122.45

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Solution

The fourth proportional to 338.93, 508.07 and 122.45 is: 183.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.93 : 508.07 = 122.45 : x
  2. Step 2: Convert to fraction form
    338.93/508.07 = 122.45/x
  3. Step 3: Cross multiply
    338.93x = 508.07 × 122.45
  4. Step 4: Simplify right side
    338.93x = 62,210.02
  5. Step 5: Solve for x
    x = 62,210.02/338.93
  6. Step 6: Final answer
    x = 183.55

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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.