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Finding the Fourth Proportional to 149.83, 206.76 and 84.33

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Solution

The fourth proportional to 149.83, 206.76 and 84.33 is: 116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.83 : 206.76 = 84.33 : x
  2. Step 2: Convert to fraction form
    149.83/206.76 = 84.33/x
  3. Step 3: Cross multiply
    149.83x = 206.76 × 84.33
  4. Step 4: Simplify right side
    149.83x = 17,436.07
  5. Step 5: Solve for x
    x = 17,436.07/149.83
  6. Step 6: Final answer
    x = 116.37

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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.