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Finding the Fourth Proportional to 174.77, 240.66 and 119.42

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Solution

The fourth proportional to 174.77, 240.66 and 119.42 is: 164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.77 : 240.66 = 119.42 : x
  2. Step 2: Convert to fraction form
    174.77/240.66 = 119.42/x
  3. Step 3: Cross multiply
    174.77x = 240.66 × 119.42
  4. Step 4: Simplify right side
    174.77x = 28,738.41
  5. Step 5: Solve for x
    x = 28,738.41/174.77
  6. Step 6: Final answer
    x = 164.43

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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.