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Finding the Fourth Proportional to 371.51, 512.74 and 214.17

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Solution

The fourth proportional to 371.51, 512.74 and 214.17 is: 295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.51 : 512.74 = 214.17 : x
  2. Step 2: Convert to fraction form
    371.51/512.74 = 214.17/x
  3. Step 3: Cross multiply
    371.51x = 512.74 × 214.17
  4. Step 4: Simplify right side
    371.51x = 109,813.53
  5. Step 5: Solve for x
    x = 109,813.53/371.51
  6. Step 6: Final answer
    x = 295.59

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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.