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Finding the Fourth Proportional to 174.72, 241.56 and 142.32

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Solution

The fourth proportional to 174.72, 241.56 and 142.32 is: 196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.72 : 241.56 = 142.32 : x
  2. Step 2: Convert to fraction form
    174.72/241.56 = 142.32/x
  3. Step 3: Cross multiply
    174.72x = 241.56 × 142.32
  4. Step 4: Simplify right side
    174.72x = 34,378.82
  5. Step 5: Solve for x
    x = 34,378.82/174.72
  6. Step 6: Final answer
    x = 196.77

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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.