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Finding the Fourth Proportional to 341.82, 513.18 and 219.72

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Solution

The fourth proportional to 341.82, 513.18 and 219.72 is: 329.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.82 : 513.18 = 219.72 : x
  2. Step 2: Convert to fraction form
    341.82/513.18 = 219.72/x
  3. Step 3: Cross multiply
    341.82x = 513.18 × 219.72
  4. Step 4: Simplify right side
    341.82x = 112,755.91
  5. Step 5: Solve for x
    x = 112,755.91/341.82
  6. Step 6: Final answer
    x = 329.87

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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.