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Finding the Fourth Proportional to 316.84, 475.28 and 179.88

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Solution

The fourth proportional to 316.84, 475.28 and 179.88 is: 269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.84 : 475.28 = 179.88 : x
  2. Step 2: Convert to fraction form
    316.84/475.28 = 179.88/x
  3. Step 3: Cross multiply
    316.84x = 475.28 × 179.88
  4. Step 4: Simplify right side
    316.84x = 85,493.37
  5. Step 5: Solve for x
    x = 85,493.37/316.84
  6. Step 6: Final answer
    x = 269.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.