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Finding the Fourth Proportional to 235.57, 353.36 and 154.92

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Solution

The fourth proportional to 235.57, 353.36 and 154.92 is: 232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.57 : 353.36 = 154.92 : x
  2. Step 2: Convert to fraction form
    235.57/353.36 = 154.92/x
  3. Step 3: Cross multiply
    235.57x = 353.36 × 154.92
  4. Step 4: Simplify right side
    235.57x = 54,743.37
  5. Step 5: Solve for x
    x = 54,743.37/235.57
  6. Step 6: Final answer
    x = 232.39

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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.