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Finding the Fourth Proportional to 316.78, 437.18 and 206.27

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Solution

The fourth proportional to 316.78, 437.18 and 206.27 is: 284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.78 : 437.18 = 206.27 : x
  2. Step 2: Convert to fraction form
    316.78/437.18 = 206.27/x
  3. Step 3: Cross multiply
    316.78x = 437.18 × 206.27
  4. Step 4: Simplify right side
    316.78x = 90,177.12
  5. Step 5: Solve for x
    x = 90,177.12/316.78
  6. Step 6: Final answer
    x = 284.67

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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.