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Finding the Fourth Proportional to 316.70, 437.16 and 198.69

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Solution

The fourth proportional to 316.70, 437.16 and 198.69 is: 274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.70 : 437.16 = 198.69 : x
  2. Step 2: Convert to fraction form
    316.70/437.16 = 198.69/x
  3. Step 3: Cross multiply
    316.70x = 437.16 × 198.69
  4. Step 4: Simplify right side
    316.70x = 86,859.32
  5. Step 5: Solve for x
    x = 86,859.32/316.70
  6. Step 6: Final answer
    x = 274.27

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