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Finding the Fourth Proportional to 371.96, 513.28 and 206.16

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Solution

The fourth proportional to 371.96, 513.28 and 206.16 is: 284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.96 : 513.28 = 206.16 : x
  2. Step 2: Convert to fraction form
    371.96/513.28 = 206.16/x
  3. Step 3: Cross multiply
    371.96x = 513.28 × 206.16
  4. Step 4: Simplify right side
    371.96x = 105,817.80
  5. Step 5: Solve for x
    x = 105,817.80/371.96
  6. Step 6: Final answer
    x = 284.49

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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.