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Finding the Fourth Proportional to 316.28, 473.43 and 200.86

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Solution

The fourth proportional to 316.28, 473.43 and 200.86 is: 300.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.28 : 473.43 = 200.86 : x
  2. Step 2: Convert to fraction form
    316.28/473.43 = 200.86/x
  3. Step 3: Cross multiply
    316.28x = 473.43 × 200.86
  4. Step 4: Simplify right side
    316.28x = 95,091.03
  5. Step 5: Solve for x
    x = 95,091.03/316.28
  6. Step 6: Final answer
    x = 300.65

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