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Finding the Fourth Proportional to 339.53, 468.24 and 206.64

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Solution

The fourth proportional to 339.53, 468.24 and 206.64 is: 284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.53 : 468.24 = 206.64 : x
  2. Step 2: Convert to fraction form
    339.53/468.24 = 206.64/x
  3. Step 3: Cross multiply
    339.53x = 468.24 × 206.64
  4. Step 4: Simplify right side
    339.53x = 96,757.11
  5. Step 5: Solve for x
    x = 96,757.11/339.53
  6. Step 6: Final answer
    x = 284.97

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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.