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Finding the Fourth Proportional to 174.77, 262.37 and 109.77

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Solution

The fourth proportional to 174.77, 262.37 and 109.77 is: 164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.77 : 262.37 = 109.77 : x
  2. Step 2: Convert to fraction form
    174.77/262.37 = 109.77/x
  3. Step 3: Cross multiply
    174.77x = 262.37 × 109.77
  4. Step 4: Simplify right side
    174.77x = 28,800.35
  5. Step 5: Solve for x
    x = 28,800.35/174.77
  6. Step 6: Final answer
    x = 164.79

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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.