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Finding the Fourth Proportional to 316.99, 437.19 and 206.38

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Solution

The fourth proportional to 316.99, 437.19 and 206.38 is: 284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.99 : 437.19 = 206.38 : x
  2. Step 2: Convert to fraction form
    316.99/437.19 = 206.38/x
  3. Step 3: Cross multiply
    316.99x = 437.19 × 206.38
  4. Step 4: Simplify right side
    316.99x = 90,227.27
  5. Step 5: Solve for x
    x = 90,227.27/316.99
  6. Step 6: Final answer
    x = 284.64

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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.