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Finding the Fourth Proportional to 316.61, 475.03 and 111.20

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Solution

The fourth proportional to 316.61, 475.03 and 111.20 is: 166.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.61 : 475.03 = 111.20 : x
  2. Step 2: Convert to fraction form
    316.61/475.03 = 111.20/x
  3. Step 3: Cross multiply
    316.61x = 475.03 × 111.20
  4. Step 4: Simplify right side
    316.61x = 52,821.10
  5. Step 5: Solve for x
    x = 52,821.10/316.61
  6. Step 6: Final answer
    x = 166.83

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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.