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Finding the Fourth Proportional to 314.92, 434.50 and 198.46

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Solution

The fourth proportional to 314.92, 434.50 and 198.46 is: 273.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.92 : 434.50 = 198.46 : x
  2. Step 2: Convert to fraction form
    314.92/434.50 = 198.46/x
  3. Step 3: Cross multiply
    314.92x = 434.50 × 198.46
  4. Step 4: Simplify right side
    314.92x = 86,230.87
  5. Step 5: Solve for x
    x = 86,230.87/314.92
  6. Step 6: Final answer
    x = 273.82

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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.