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Finding the Fourth Proportional to 316.96, 475.45 and 180.10

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Solution

The fourth proportional to 316.96, 475.45 and 180.10 is: 270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.96 : 475.45 = 180.10 : x
  2. Step 2: Convert to fraction form
    316.96/475.45 = 180.10/x
  3. Step 3: Cross multiply
    316.96x = 475.45 × 180.10
  4. Step 4: Simplify right side
    316.96x = 85,626.91
  5. Step 5: Solve for x
    x = 85,626.91/316.96
  6. Step 6: Final answer
    x = 270.15

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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.