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Finding the Fourth Proportional to 338.26, 466.78 and 207.24

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Solution

The fourth proportional to 338.26, 466.78 and 207.24 is: 285.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.26 : 466.78 = 207.24 : x
  2. Step 2: Convert to fraction form
    338.26/466.78 = 207.24/x
  3. Step 3: Cross multiply
    338.26x = 466.78 × 207.24
  4. Step 4: Simplify right side
    338.26x = 96,735.49
  5. Step 5: Solve for x
    x = 96,735.49/338.26
  6. Step 6: Final answer
    x = 285.98

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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.