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Finding the Fourth Proportional to 310.82, 428.99 and 179.83

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Solution

The fourth proportional to 310.82, 428.99 and 179.83 is: 248.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.82 : 428.99 = 179.83 : x
  2. Step 2: Convert to fraction form
    310.82/428.99 = 179.83/x
  3. Step 3: Cross multiply
    310.82x = 428.99 × 179.83
  4. Step 4: Simplify right side
    310.82x = 77,144.91
  5. Step 5: Solve for x
    x = 77,144.91/310.82
  6. Step 6: Final answer
    x = 248.20

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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.