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Finding the Fourth Proportional to 305.87, 458.73 and 196.02

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Solution

The fourth proportional to 305.87, 458.73 and 196.02 is: 293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.87 : 458.73 = 196.02 : x
  2. Step 2: Convert to fraction form
    305.87/458.73 = 196.02/x
  3. Step 3: Cross multiply
    305.87x = 458.73 × 196.02
  4. Step 4: Simplify right side
    305.87x = 89,920.25
  5. Step 5: Solve for x
    x = 89,920.25/305.87
  6. Step 6: Final answer
    x = 293.98

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