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Finding the Fourth Proportional to 372.15, 513.56 and 206.36

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Solution

The fourth proportional to 372.15, 513.56 and 206.36 is: 284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.15 : 513.56 = 206.36 : x
  2. Step 2: Convert to fraction form
    372.15/513.56 = 206.36/x
  3. Step 3: Cross multiply
    372.15x = 513.56 × 206.36
  4. Step 4: Simplify right side
    372.15x = 105,975.80
  5. Step 5: Solve for x
    x = 105,975.80/372.15
  6. Step 6: Final answer
    x = 284.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.