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Finding the Fourth Proportional to 153.71, 230.43 and 110.27

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Solution

The fourth proportional to 153.71, 230.43 and 110.27 is: 165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.71 : 230.43 = 110.27 : x
  2. Step 2: Convert to fraction form
    153.71/230.43 = 110.27/x
  3. Step 3: Cross multiply
    153.71x = 230.43 × 110.27
  4. Step 4: Simplify right side
    153.71x = 25,410.18
  5. Step 5: Solve for x
    x = 25,410.18/153.71
  6. Step 6: Final answer
    x = 165.31

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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.