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Finding the Fourth Proportional to 316.96, 437.46 and 206.44

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Solution

The fourth proportional to 316.96, 437.46 and 206.44 is: 284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.96 : 437.46 = 206.44 : x
  2. Step 2: Convert to fraction form
    316.96/437.46 = 206.44/x
  3. Step 3: Cross multiply
    316.96x = 437.46 × 206.44
  4. Step 4: Simplify right side
    316.96x = 90,309.24
  5. Step 5: Solve for x
    x = 90,309.24/316.96
  6. Step 6: Final answer
    x = 284.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.