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Finding the Fourth Proportional to 314.96, 434.40 and 198.44

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Solution

The fourth proportional to 314.96, 434.40 and 198.44 is: 273.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.96 : 434.40 = 198.44 : x
  2. Step 2: Convert to fraction form
    314.96/434.40 = 198.44/x
  3. Step 3: Cross multiply
    314.96x = 434.40 × 198.44
  4. Step 4: Simplify right side
    314.96x = 86,202.34
  5. Step 5: Solve for x
    x = 86,202.34/314.96
  6. Step 6: Final answer
    x = 273.69

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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.