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Finding the Fourth Proportional to 371.50, 512.64 and 205.71

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Solution

The fourth proportional to 371.50, 512.64 and 205.71 is: 283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.50 : 512.64 = 205.71 : x
  2. Step 2: Convert to fraction form
    371.50/512.64 = 205.71/x
  3. Step 3: Cross multiply
    371.50x = 512.64 × 205.71
  4. Step 4: Simplify right side
    371.50x = 105,455.17
  5. Step 5: Solve for x
    x = 105,455.17/371.50
  6. Step 6: Final answer
    x = 283.86

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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.