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Finding the Fourth Proportional to 371.10, 512.14 and 205.34

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Solution

The fourth proportional to 371.10, 512.14 and 205.34 is: 283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.10 : 512.14 = 205.34 : x
  2. Step 2: Convert to fraction form
    371.10/512.14 = 205.34/x
  3. Step 3: Cross multiply
    371.10x = 512.14 × 205.34
  4. Step 4: Simplify right side
    371.10x = 105,162.83
  5. Step 5: Solve for x
    x = 105,162.83/371.10
  6. Step 6: Final answer
    x = 283.38

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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.