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Finding the Fourth Proportional to 156.33, 234.41 and 110.77

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Solution

The fourth proportional to 156.33, 234.41 and 110.77 is: 166.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.33 : 234.41 = 110.77 : x
  2. Step 2: Convert to fraction form
    156.33/234.41 = 110.77/x
  3. Step 3: Cross multiply
    156.33x = 234.41 × 110.77
  4. Step 4: Simplify right side
    156.33x = 25,965.08
  5. Step 5: Solve for x
    x = 25,965.08/156.33
  6. Step 6: Final answer
    x = 166.09

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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.