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Finding the Fourth Proportional to 338.33, 466.71 and 207.11

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Solution

The fourth proportional to 338.33, 466.71 and 207.11 is: 285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.33 : 466.71 = 207.11 : x
  2. Step 2: Convert to fraction form
    338.33/466.71 = 207.11/x
  3. Step 3: Cross multiply
    338.33x = 466.71 × 207.11
  4. Step 4: Simplify right side
    338.33x = 96,660.31
  5. Step 5: Solve for x
    x = 96,660.31/338.33
  6. Step 6: Final answer
    x = 285.70

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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.