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Finding the Fourth Proportional to 316.98, 475.43 and 111.49

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Solution

The fourth proportional to 316.98, 475.43 and 111.49 is: 167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.98 : 475.43 = 111.49 : x
  2. Step 2: Convert to fraction form
    316.98/475.43 = 111.49/x
  3. Step 3: Cross multiply
    316.98x = 475.43 × 111.49
  4. Step 4: Simplify right side
    316.98x = 53,005.69
  5. Step 5: Solve for x
    x = 53,005.69/316.98
  6. Step 6: Final answer
    x = 167.22

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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.