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Finding the Fourth Proportional to 235.24, 353.07 and 111.99

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Solution

The fourth proportional to 235.24, 353.07 and 111.99 is: 168.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.24 : 353.07 = 111.99 : x
  2. Step 2: Convert to fraction form
    235.24/353.07 = 111.99/x
  3. Step 3: Cross multiply
    235.24x = 353.07 × 111.99
  4. Step 4: Simplify right side
    235.24x = 39,541.42
  5. Step 5: Solve for x
    x = 39,541.42/235.24
  6. Step 6: Final answer
    x = 168.09

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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.