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Finding the Fourth Proportional to 174.86, 241.30 and 97.23

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Solution

The fourth proportional to 174.86, 241.30 and 97.23 is: 134.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.86 : 241.30 = 97.23 : x
  2. Step 2: Convert to fraction form
    174.86/241.30 = 97.23/x
  3. Step 3: Cross multiply
    174.86x = 241.30 × 97.23
  4. Step 4: Simplify right side
    174.86x = 23,461.60
  5. Step 5: Solve for x
    x = 23,461.60/174.86
  6. Step 6: Final answer
    x = 134.17

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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.