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Finding the Fourth Proportional to 338.18, 466.58 and 190.78

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Solution

The fourth proportional to 338.18, 466.58 and 190.78 is: 263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.18 : 466.58 = 190.78 : x
  2. Step 2: Convert to fraction form
    338.18/466.58 = 190.78/x
  3. Step 3: Cross multiply
    338.18x = 466.58 × 190.78
  4. Step 4: Simplify right side
    338.18x = 89,013.44
  5. Step 5: Solve for x
    x = 89,013.44/338.18
  6. Step 6: Final answer
    x = 263.22

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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.