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Finding the Fourth Proportional to 371.66, 512.87 and 214.31

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Solution

The fourth proportional to 371.66, 512.87 and 214.31 is: 295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.66 : 512.87 = 214.31 : x
  2. Step 2: Convert to fraction form
    371.66/512.87 = 214.31/x
  3. Step 3: Cross multiply
    371.66x = 512.87 × 214.31
  4. Step 4: Simplify right side
    371.66x = 109,913.38
  5. Step 5: Solve for x
    x = 109,913.38/371.66
  6. Step 6: Final answer
    x = 295.74

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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.