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Finding the Fourth Proportional to 341.93, 512.21 and 219.75

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Solution

The fourth proportional to 341.93, 512.21 and 219.75 is: 329.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.93 : 512.21 = 219.75 : x
  2. Step 2: Convert to fraction form
    341.93/512.21 = 219.75/x
  3. Step 3: Cross multiply
    341.93x = 512.21 × 219.75
  4. Step 4: Simplify right side
    341.93x = 112,557.05
  5. Step 5: Solve for x
    x = 112,557.05/341.93
  6. Step 6: Final answer
    x = 329.19

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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.