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Finding the Fourth Proportional to 305.93, 458.31 and 196.10

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Solution

The fourth proportional to 305.93, 458.31 and 196.10 is: 293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.93 : 458.31 = 196.10 : x
  2. Step 2: Convert to fraction form
    305.93/458.31 = 196.10/x
  3. Step 3: Cross multiply
    305.93x = 458.31 × 196.10
  4. Step 4: Simplify right side
    305.93x = 89,874.59
  5. Step 5: Solve for x
    x = 89,874.59/305.93
  6. Step 6: Final answer
    x = 293.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.