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Finding the Fourth Proportional to 174.94, 241.49 and 109.48

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Solution

The fourth proportional to 174.94, 241.49 and 109.48 is: 151.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.94 : 241.49 = 109.48 : x
  2. Step 2: Convert to fraction form
    174.94/241.49 = 109.48/x
  3. Step 3: Cross multiply
    174.94x = 241.49 × 109.48
  4. Step 4: Simplify right side
    174.94x = 26,438.14
  5. Step 5: Solve for x
    x = 26,438.14/174.94
  6. Step 6: Final answer
    x = 151.13

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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.