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Finding the Fourth Proportional to 174.74, 241.09 and 116.50

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Solution

The fourth proportional to 174.74, 241.09 and 116.50 is: 160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.74 : 241.09 = 116.50 : x
  2. Step 2: Convert to fraction form
    174.74/241.09 = 116.50/x
  3. Step 3: Cross multiply
    174.74x = 241.09 × 116.50
  4. Step 4: Simplify right side
    174.74x = 28,086.99
  5. Step 5: Solve for x
    x = 28,086.99/174.74
  6. Step 6: Final answer
    x = 160.74

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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.