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Finding the Fourth Proportional to 371.51, 512.72 and 205.78

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Solution

The fourth proportional to 371.51, 512.72 and 205.78 is: 283.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.51 : 512.72 = 205.78 : x
  2. Step 2: Convert to fraction form
    371.51/512.72 = 205.78/x
  3. Step 3: Cross multiply
    371.51x = 512.72 × 205.78
  4. Step 4: Simplify right side
    371.51x = 105,505.21
  5. Step 5: Solve for x
    x = 105,505.21/371.51
  6. Step 6: Final answer
    x = 283.99

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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.