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Finding the Fourth Proportional to 338.12, 466.62 and 190.77

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Solution

The fourth proportional to 338.12, 466.62 and 190.77 is: 263.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.12 : 466.62 = 190.77 : x
  2. Step 2: Convert to fraction form
    338.12/466.62 = 190.77/x
  3. Step 3: Cross multiply
    338.12x = 466.62 × 190.77
  4. Step 4: Simplify right side
    338.12x = 89,015.93
  5. Step 5: Solve for x
    x = 89,015.93/338.12
  6. Step 6: Final answer
    x = 263.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.