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Finding the Fourth Proportional to 305.44, 458.16 and 110.46

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Solution

The fourth proportional to 305.44, 458.16 and 110.46 is: 165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.44 : 458.16 = 110.46 : x
  2. Step 2: Convert to fraction form
    305.44/458.16 = 110.46/x
  3. Step 3: Cross multiply
    305.44x = 458.16 × 110.46
  4. Step 4: Simplify right side
    305.44x = 50,607.05
  5. Step 5: Solve for x
    x = 50,607.05/305.44
  6. Step 6: Final answer
    x = 165.69

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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.