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Finding the Fourth Proportional to 371.49, 512.71 and 214.10

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Solution

The fourth proportional to 371.49, 512.71 and 214.10 is: 295.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.49 : 512.71 = 214.10 : x
  2. Step 2: Convert to fraction form
    371.49/512.71 = 214.10/x
  3. Step 3: Cross multiply
    371.49x = 512.71 × 214.10
  4. Step 4: Simplify right side
    371.49x = 109,769.45
  5. Step 5: Solve for x
    x = 109,769.45/371.49
  6. Step 6: Final answer
    x = 295.48

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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.