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Finding the Fourth Proportional to 174.77, 241.07 and 130.97

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Solution

The fourth proportional to 174.77, 241.07 and 130.97 is: 180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.77 : 241.07 = 130.97 : x
  2. Step 2: Convert to fraction form
    174.77/241.07 = 130.97/x
  3. Step 3: Cross multiply
    174.77x = 241.07 × 130.97
  4. Step 4: Simplify right side
    174.77x = 31,572.06
  5. Step 5: Solve for x
    x = 31,572.06/174.77
  6. Step 6: Final answer
    x = 180.65

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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.