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Finding the Fourth Proportional to 235.12, 353.09 and 153.92

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Solution

The fourth proportional to 235.12, 353.09 and 153.92 is: 231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.12 : 353.09 = 153.92 : x
  2. Step 2: Convert to fraction form
    235.12/353.09 = 153.92/x
  3. Step 3: Cross multiply
    235.12x = 353.09 × 153.92
  4. Step 4: Simplify right side
    235.12x = 54,347.61
  5. Step 5: Solve for x
    x = 54,347.61/235.12
  6. Step 6: Final answer
    x = 231.15

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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.