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Finding the Fourth Proportional to 235.77, 353.31 and 189.87

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Solution

The fourth proportional to 235.77, 353.31 and 189.87 is: 284.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.77 : 353.31 = 189.87 : x
  2. Step 2: Convert to fraction form
    235.77/353.31 = 189.87/x
  3. Step 3: Cross multiply
    235.77x = 353.31 × 189.87
  4. Step 4: Simplify right side
    235.77x = 67,082.97
  5. Step 5: Solve for x
    x = 67,082.97/235.77
  6. Step 6: Final answer
    x = 284.53

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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.