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Finding the Fourth Proportional to 235.36, 353.12 and 105.45

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Solution

The fourth proportional to 235.36, 353.12 and 105.45 is: 158.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.36 : 353.12 = 105.45 : x
  2. Step 2: Convert to fraction form
    235.36/353.12 = 105.45/x
  3. Step 3: Cross multiply
    235.36x = 353.12 × 105.45
  4. Step 4: Simplify right side
    235.36x = 37,235.80
  5. Step 5: Solve for x
    x = 37,235.80/235.36
  6. Step 6: Final answer
    x = 158.21

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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.