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Finding the Fourth Proportional to 310.23, 428.10 and 179.24

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Solution

The fourth proportional to 310.23, 428.10 and 179.24 is: 247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.23 : 428.10 = 179.24 : x
  2. Step 2: Convert to fraction form
    310.23/428.10 = 179.24/x
  3. Step 3: Cross multiply
    310.23x = 428.10 × 179.24
  4. Step 4: Simplify right side
    310.23x = 76,730.50
  5. Step 5: Solve for x
    x = 76,730.50/310.23
  6. Step 6: Final answer
    x = 247.33

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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.