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Finding the Fourth Proportional to 316.87, 437.49 and 198.89

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Solution

The fourth proportional to 316.87, 437.49 and 198.89 is: 274.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.87 : 437.49 = 198.89 : x
  2. Step 2: Convert to fraction form
    316.87/437.49 = 198.89/x
  3. Step 3: Cross multiply
    316.87x = 437.49 × 198.89
  4. Step 4: Simplify right side
    316.87x = 87,012.39
  5. Step 5: Solve for x
    x = 87,012.39/316.87
  6. Step 6: Final answer
    x = 274.60

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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.