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Finding the Fourth Proportional to 338.28, 466.83 and 207.21

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Solution

The fourth proportional to 338.28, 466.83 and 207.21 is: 285.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.28 : 466.83 = 207.21 : x
  2. Step 2: Convert to fraction form
    338.28/466.83 = 207.21/x
  3. Step 3: Cross multiply
    338.28x = 466.83 × 207.21
  4. Step 4: Simplify right side
    338.28x = 96,733.16
  5. Step 5: Solve for x
    x = 96,733.16/338.28
  6. Step 6: Final answer
    x = 285.96

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Why These Related Problems?

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