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Finding the Fourth Proportional to 372, 513.34 and 206.20

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Solution

The fourth proportional to 372, 513.34 and 206.20 is: 284.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    372 : 513.34 = 206.20 : x
  2. Step 2: Convert to fraction form
    372/513.34 = 206.20/x
  3. Step 3: Cross multiply
    372x = 513.34 × 206.20
  4. Step 4: Simplify right side
    372x = 105,850.71
  5. Step 5: Solve for x
    x = 105,850.71/372
  6. Step 6: Final answer
    x = 284.54

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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.