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Finding the Fourth Proportional to 372.39, 513.87 and 206.59

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Solution

The fourth proportional to 372.39, 513.87 and 206.59 is: 285.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.39 : 513.87 = 206.59 : x
  2. Step 2: Convert to fraction form
    372.39/513.87 = 206.59/x
  3. Step 3: Cross multiply
    372.39x = 513.87 × 206.59
  4. Step 4: Simplify right side
    372.39x = 106,160.40
  5. Step 5: Solve for x
    x = 106,160.40/372.39
  6. Step 6: Final answer
    x = 285.08

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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.