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Finding the Fourth Proportional to 235.32, 353.16 and 105.27

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Solution

The fourth proportional to 235.32, 353.16 and 105.27 is: 157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.32 : 353.16 = 105.27 : x
  2. Step 2: Convert to fraction form
    235.32/353.16 = 105.27/x
  3. Step 3: Cross multiply
    235.32x = 353.16 × 105.27
  4. Step 4: Simplify right side
    235.32x = 37,177.15
  5. Step 5: Solve for x
    x = 37,177.15/235.32
  6. Step 6: Final answer
    x = 157.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.