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Finding the Fourth Proportional to 324.74, 448.17 and 198.70

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Solution

The fourth proportional to 324.74, 448.17 and 198.70 is: 274.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.74 : 448.17 = 198.70 : x
  2. Step 2: Convert to fraction form
    324.74/448.17 = 198.70/x
  3. Step 3: Cross multiply
    324.74x = 448.17 × 198.70
  4. Step 4: Simplify right side
    324.74x = 89,051.38
  5. Step 5: Solve for x
    x = 89,051.38/324.74
  6. Step 6: Final answer
    x = 274.22

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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.