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Finding the Fourth Proportional to 178.04, 266.83 and 109.37

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Solution

The fourth proportional to 178.04, 266.83 and 109.37 is: 163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.04 : 266.83 = 109.37 : x
  2. Step 2: Convert to fraction form
    178.04/266.83 = 109.37/x
  3. Step 3: Cross multiply
    178.04x = 266.83 × 109.37
  4. Step 4: Simplify right side
    178.04x = 29,183.20
  5. Step 5: Solve for x
    x = 29,183.20/178.04
  6. Step 6: Final answer
    x = 163.91

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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.