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Finding the Fourth Proportional to 371.40, 512.56 and 205.64

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Solution

The fourth proportional to 371.40, 512.56 and 205.64 is: 283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.40 : 512.56 = 205.64 : x
  2. Step 2: Convert to fraction form
    371.40/512.56 = 205.64/x
  3. Step 3: Cross multiply
    371.40x = 512.56 × 205.64
  4. Step 4: Simplify right side
    371.40x = 105,402.45
  5. Step 5: Solve for x
    x = 105,402.45/371.40
  6. Step 6: Final answer
    x = 283.80

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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.