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Finding the Fourth Proportional to 310.46, 428.47 and 179.47

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Solution

The fourth proportional to 310.46, 428.47 and 179.47 is: 247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.46 : 428.47 = 179.47 : x
  2. Step 2: Convert to fraction form
    310.46/428.47 = 179.47/x
  3. Step 3: Cross multiply
    310.46x = 428.47 × 179.47
  4. Step 4: Simplify right side
    310.46x = 76,897.51
  5. Step 5: Solve for x
    x = 76,897.51/310.46
  6. Step 6: Final answer
    x = 247.69

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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.