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Finding the Fourth Proportional to 305.68, 458.41 and 110.63

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Solution

The fourth proportional to 305.68, 458.41 and 110.63 is: 165.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.68 : 458.41 = 110.63 : x
  2. Step 2: Convert to fraction form
    305.68/458.41 = 110.63/x
  3. Step 3: Cross multiply
    305.68x = 458.41 × 110.63
  4. Step 4: Simplify right side
    305.68x = 50,715.44
  5. Step 5: Solve for x
    x = 50,715.44/305.68
  6. Step 6: Final answer
    x = 165.91

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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.