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Finding the Fourth Proportional to 305.31, 457.84 and 110.27

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Solution

The fourth proportional to 305.31, 457.84 and 110.27 is: 165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.31 : 457.84 = 110.27 : x
  2. Step 2: Convert to fraction form
    305.31/457.84 = 110.27/x
  3. Step 3: Cross multiply
    305.31x = 457.84 × 110.27
  4. Step 4: Simplify right side
    305.31x = 50,486.02
  5. Step 5: Solve for x
    x = 50,486.02/305.31
  6. Step 6: Final answer
    x = 165.36

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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.