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Finding the Fourth Proportional to 316.82, 475.24 and 194.96

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Solution

The fourth proportional to 316.82, 475.24 and 194.96 is: 292.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.82 : 475.24 = 194.96 : x
  2. Step 2: Convert to fraction form
    316.82/475.24 = 194.96/x
  3. Step 3: Cross multiply
    316.82x = 475.24 × 194.96
  4. Step 4: Simplify right side
    316.82x = 92,652.79
  5. Step 5: Solve for x
    x = 92,652.79/316.82
  6. Step 6: Final answer
    x = 292.45

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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.