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Finding the Fourth Proportional to 371.23, 512.32 and 205.45

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Solution

The fourth proportional to 371.23, 512.32 and 205.45 is: 283.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.23 : 512.32 = 205.45 : x
  2. Step 2: Convert to fraction form
    371.23/512.32 = 205.45/x
  3. Step 3: Cross multiply
    371.23x = 512.32 × 205.45
  4. Step 4: Simplify right side
    371.23x = 105,253.58
  5. Step 5: Solve for x
    x = 105,253.58/371.23
  6. Step 6: Final answer
    x = 283.53

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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.