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Finding the Fourth Proportional to 149.15, 205.82 and 82.76

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Solution

The fourth proportional to 149.15, 205.82 and 82.76 is: 114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.15 : 205.82 = 82.76 : x
  2. Step 2: Convert to fraction form
    149.15/205.82 = 82.76/x
  3. Step 3: Cross multiply
    149.15x = 205.82 × 82.76
  4. Step 4: Simplify right side
    149.15x = 17,032.22
  5. Step 5: Solve for x
    x = 17,032.22/149.15
  6. Step 6: Final answer
    x = 114.20

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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.