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Finding the Fourth Proportional to 154.53, 232.24 and 143.21

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Solution

The fourth proportional to 154.53, 232.24 and 143.21 is: 215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.53 : 232.24 = 143.21 : x
  2. Step 2: Convert to fraction form
    154.53/232.24 = 143.21/x
  3. Step 3: Cross multiply
    154.53x = 232.24 × 143.21
  4. Step 4: Simplify right side
    154.53x = 33,259.09
  5. Step 5: Solve for x
    x = 33,259.09/154.53
  6. Step 6: Final answer
    x = 215.23

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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.