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Finding the Fourth Proportional to 149.86, 206.83 and 84.37

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Solution

The fourth proportional to 149.86, 206.83 and 84.37 is: 116.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.86 : 206.83 = 84.37 : x
  2. Step 2: Convert to fraction form
    149.86/206.83 = 84.37/x
  3. Step 3: Cross multiply
    149.86x = 206.83 × 84.37
  4. Step 4: Simplify right side
    149.86x = 17,450.98
  5. Step 5: Solve for x
    x = 17,450.98/149.86
  6. Step 6: Final answer
    x = 116.45

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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.