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Finding the Fourth Proportional to 235.64, 353.62 and 107.64

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Solution

The fourth proportional to 235.64, 353.62 and 107.64 is: 161.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.64 : 353.62 = 107.64 : x
  2. Step 2: Convert to fraction form
    235.64/353.62 = 107.64/x
  3. Step 3: Cross multiply
    235.64x = 353.62 × 107.64
  4. Step 4: Simplify right side
    235.64x = 38,063.66
  5. Step 5: Solve for x
    x = 38,063.66/235.64
  6. Step 6: Final answer
    x = 161.53

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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.