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Finding the Fourth Proportional to 371.70, 512.98 and 214.38

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Solution

The fourth proportional to 371.70, 512.98 and 214.38 is: 295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.70 : 512.98 = 214.38 : x
  2. Step 2: Convert to fraction form
    371.70/512.98 = 214.38/x
  3. Step 3: Cross multiply
    371.70x = 512.98 × 214.38
  4. Step 4: Simplify right side
    371.70x = 109,972.65
  5. Step 5: Solve for x
    x = 109,972.65/371.70
  6. Step 6: Final answer
    x = 295.86

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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.