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Finding the Fourth Proportional to 339.60, 468.51 and 206.78

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Solution

The fourth proportional to 339.60, 468.51 and 206.78 is: 285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.60 : 468.51 = 206.78 : x
  2. Step 2: Convert to fraction form
    339.60/468.51 = 206.78/x
  3. Step 3: Cross multiply
    339.60x = 468.51 × 206.78
  4. Step 4: Simplify right side
    339.60x = 96,877.28
  5. Step 5: Solve for x
    x = 96,877.28/339.60
  6. Step 6: Final answer
    x = 285.27

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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.