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Finding the Fourth Proportional to 305.64, 458.40 and 195.90

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Solution

The fourth proportional to 305.64, 458.40 and 195.90 is: 293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.64 : 458.40 = 195.90 : x
  2. Step 2: Convert to fraction form
    305.64/458.40 = 195.90/x
  3. Step 3: Cross multiply
    305.64x = 458.40 × 195.90
  4. Step 4: Simplify right side
    305.64x = 89,800.56
  5. Step 5: Solve for x
    x = 89,800.56/305.64
  6. Step 6: Final answer
    x = 293.81

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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.