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Finding the Fourth Proportional to 153.44, 230.27 and 142.18

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Solution

The fourth proportional to 153.44, 230.27 and 142.18 is: 213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.44 : 230.27 = 142.18 : x
  2. Step 2: Convert to fraction form
    153.44/230.27 = 142.18/x
  3. Step 3: Cross multiply
    153.44x = 230.27 × 142.18
  4. Step 4: Simplify right side
    153.44x = 32,739.79
  5. Step 5: Solve for x
    x = 32,739.79/153.44
  6. Step 6: Final answer
    x = 213.37

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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.