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Finding the Fourth Proportional to 174.80, 241.08 and 116.58

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Solution

The fourth proportional to 174.80, 241.08 and 116.58 is: 160.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.80 : 241.08 = 116.58 : x
  2. Step 2: Convert to fraction form
    174.80/241.08 = 116.58/x
  3. Step 3: Cross multiply
    174.80x = 241.08 × 116.58
  4. Step 4: Simplify right side
    174.80x = 28,105.11
  5. Step 5: Solve for x
    x = 28,105.11/174.80
  6. Step 6: Final answer
    x = 160.78

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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.