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Finding the Fourth Proportional to 235.43, 353.24 and 144.17

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Solution

The fourth proportional to 235.43, 353.24 and 144.17 is: 216.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.43 : 353.24 = 144.17 : x
  2. Step 2: Convert to fraction form
    235.43/353.24 = 144.17/x
  3. Step 3: Cross multiply
    235.43x = 353.24 × 144.17
  4. Step 4: Simplify right side
    235.43x = 50,926.61
  5. Step 5: Solve for x
    x = 50,926.61/235.43
  6. Step 6: Final answer
    x = 216.31

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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.