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Finding the Fourth Proportional to 174.99, 241.47 and 119.78

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Solution

The fourth proportional to 174.99, 241.47 and 119.78 is: 165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.99 : 241.47 = 119.78 : x
  2. Step 2: Convert to fraction form
    174.99/241.47 = 119.78/x
  3. Step 3: Cross multiply
    174.99x = 241.47 × 119.78
  4. Step 4: Simplify right side
    174.99x = 28,922.07
  5. Step 5: Solve for x
    x = 28,922.07/174.99
  6. Step 6: Final answer
    x = 165.28

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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.