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Finding the Fourth Proportional to 372.26, 513.75 and 206.53

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Solution

The fourth proportional to 372.26, 513.75 and 206.53 is: 285.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.26 : 513.75 = 206.53 : x
  2. Step 2: Convert to fraction form
    372.26/513.75 = 206.53/x
  3. Step 3: Cross multiply
    372.26x = 513.75 × 206.53
  4. Step 4: Simplify right side
    372.26x = 106,104.28
  5. Step 5: Solve for x
    x = 106,104.28/372.26
  6. Step 6: Final answer
    x = 285.03

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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.