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Finding the Fourth Proportional to 174.35, 261.81 and 109.49

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Solution

The fourth proportional to 174.35, 261.81 and 109.49 is: 164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.35 : 261.81 = 109.49 : x
  2. Step 2: Convert to fraction form
    174.35/261.81 = 109.49/x
  3. Step 3: Cross multiply
    174.35x = 261.81 × 109.49
  4. Step 4: Simplify right side
    174.35x = 28,664.27
  5. Step 5: Solve for x
    x = 28,664.27/174.35
  6. Step 6: Final answer
    x = 164.41

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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.