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Finding the Fourth Proportional to 174.78, 241.23 and 109.44

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Solution

The fourth proportional to 174.78, 241.23 and 109.44 is: 151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.78 : 241.23 = 109.44 : x
  2. Step 2: Convert to fraction form
    174.78/241.23 = 109.44/x
  3. Step 3: Cross multiply
    174.78x = 241.23 × 109.44
  4. Step 4: Simplify right side
    174.78x = 26,400.21
  5. Step 5: Solve for x
    x = 26,400.21/174.78
  6. Step 6: Final answer
    x = 151.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.