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Finding the Fourth Proportional to 372.04, 513.41 and 206.25

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Solution

The fourth proportional to 372.04, 513.41 and 206.25 is: 284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.04 : 513.41 = 206.25 : x
  2. Step 2: Convert to fraction form
    372.04/513.41 = 206.25/x
  3. Step 3: Cross multiply
    372.04x = 513.41 × 206.25
  4. Step 4: Simplify right side
    372.04x = 105,890.33
  5. Step 5: Solve for x
    x = 105,890.33/372.04
  6. Step 6: Final answer
    x = 284.62

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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.