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Finding the Fourth Proportional to 149.17, 205.97 and 116.51

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Solution

The fourth proportional to 149.17, 205.97 and 116.51 is: 160.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.17 : 205.97 = 116.51 : x
  2. Step 2: Convert to fraction form
    149.17/205.97 = 116.51/x
  3. Step 3: Cross multiply
    149.17x = 205.97 × 116.51
  4. Step 4: Simplify right side
    149.17x = 23,996.98
  5. Step 5: Solve for x
    x = 23,996.98/149.17
  6. Step 6: Final answer
    x = 160.88

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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.