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Finding the Fourth Proportional to 310.68, 428.64 and 179.66

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Solution

The fourth proportional to 310.68, 428.64 and 179.66 is: 247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.68 : 428.64 = 179.66 : x
  2. Step 2: Convert to fraction form
    310.68/428.64 = 179.66/x
  3. Step 3: Cross multiply
    310.68x = 428.64 × 179.66
  4. Step 4: Simplify right side
    310.68x = 77,009.46
  5. Step 5: Solve for x
    x = 77,009.46/310.68
  6. Step 6: Final answer
    x = 247.88

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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.