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Finding the Fourth Proportional to 316.20, 473.76 and 200.64

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Solution

The fourth proportional to 316.20, 473.76 and 200.64 is: 300.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.20 : 473.76 = 200.64 : x
  2. Step 2: Convert to fraction form
    316.20/473.76 = 200.64/x
  3. Step 3: Cross multiply
    316.20x = 473.76 × 200.64
  4. Step 4: Simplify right side
    316.20x = 95,055.21
  5. Step 5: Solve for x
    x = 95,055.21/316.20
  6. Step 6: Final answer
    x = 300.62

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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.