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Finding the Fourth Proportional to 310.92, 429.08 and 179.92

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Solution

The fourth proportional to 310.92, 429.08 and 179.92 is: 248.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.92 : 429.08 = 179.92 : x
  2. Step 2: Convert to fraction form
    310.92/429.08 = 179.92/x
  3. Step 3: Cross multiply
    310.92x = 429.08 × 179.92
  4. Step 4: Simplify right side
    310.92x = 77,200.07
  5. Step 5: Solve for x
    x = 77,200.07/310.92
  6. Step 6: Final answer
    x = 248.30

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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.