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Finding the Fourth Proportional to 372.34, 513.78 and 206.54

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Solution

The fourth proportional to 372.34, 513.78 and 206.54 is: 284.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.34 : 513.78 = 206.54 : x
  2. Step 2: Convert to fraction form
    372.34/513.78 = 206.54/x
  3. Step 3: Cross multiply
    372.34x = 513.78 × 206.54
  4. Step 4: Simplify right side
    372.34x = 106,113.55
  5. Step 5: Solve for x
    x = 106,113.55/372.34
  6. Step 6: Final answer
    x = 284.99

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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.