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Finding the Fourth Proportional to 174.68, 261.96 and 109.64

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Solution

The fourth proportional to 174.68, 261.96 and 109.64 is: 164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.68 : 261.96 = 109.64 : x
  2. Step 2: Convert to fraction form
    174.68/261.96 = 109.64/x
  3. Step 3: Cross multiply
    174.68x = 261.96 × 109.64
  4. Step 4: Simplify right side
    174.68x = 28,721.29
  5. Step 5: Solve for x
    x = 28,721.29/174.68
  6. Step 6: Final answer
    x = 164.42

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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.