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Finding the Fourth Proportional to 341.97, 512.10 and 220.25

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Solution

The fourth proportional to 341.97, 512.10 and 220.25 is: 329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.97 : 512.10 = 220.25 : x
  2. Step 2: Convert to fraction form
    341.97/512.10 = 220.25/x
  3. Step 3: Cross multiply
    341.97x = 512.10 × 220.25
  4. Step 4: Simplify right side
    341.97x = 112,787.46
  5. Step 5: Solve for x
    x = 112,787.46/341.97
  6. Step 6: Final answer
    x = 329.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.