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Finding the Fourth Proportional to 174.89, 241.02 and 119.53

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Solution

The fourth proportional to 174.89, 241.02 and 119.53 is: 164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.89 : 241.02 = 119.53 : x
  2. Step 2: Convert to fraction form
    174.89/241.02 = 119.53/x
  3. Step 3: Cross multiply
    174.89x = 241.02 × 119.53
  4. Step 4: Simplify right side
    174.89x = 28,809.42
  5. Step 5: Solve for x
    x = 28,809.42/174.89
  6. Step 6: Final answer
    x = 164.73

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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.