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Finding the Fourth Proportional to 372.18, 513.64 and 206.40

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Solution

The fourth proportional to 372.18, 513.64 and 206.40 is: 284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.18 : 513.64 = 206.40 : x
  2. Step 2: Convert to fraction form
    372.18/513.64 = 206.40/x
  3. Step 3: Cross multiply
    372.18x = 513.64 × 206.40
  4. Step 4: Simplify right side
    372.18x = 106,015.30
  5. Step 5: Solve for x
    x = 106,015.30/372.18
  6. Step 6: Final answer
    x = 284.85

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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.