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Finding the Fourth Proportional to 371.66, 512.75 and 214.19

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Solution

The fourth proportional to 371.66, 512.75 and 214.19 is: 295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.66 : 512.75 = 214.19 : x
  2. Step 2: Convert to fraction form
    371.66/512.75 = 214.19/x
  3. Step 3: Cross multiply
    371.66x = 512.75 × 214.19
  4. Step 4: Simplify right side
    371.66x = 109,822.29
  5. Step 5: Solve for x
    x = 109,822.29/371.66
  6. Step 6: Final answer
    x = 295.50

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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.