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Finding the Fourth Proportional to 174.96, 241.36 and 118.92

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Solution

The fourth proportional to 174.96, 241.36 and 118.92 is: 164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.96 : 241.36 = 118.92 : x
  2. Step 2: Convert to fraction form
    174.96/241.36 = 118.92/x
  3. Step 3: Cross multiply
    174.96x = 241.36 × 118.92
  4. Step 4: Simplify right side
    174.96x = 28,702.53
  5. Step 5: Solve for x
    x = 28,702.53/174.96
  6. Step 6: Final answer
    x = 164.05

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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.