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Finding the Fourth Proportional to 149.78, 206.74 and 84.29

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Solution

The fourth proportional to 149.78, 206.74 and 84.29 is: 116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.78 : 206.74 = 84.29 : x
  2. Step 2: Convert to fraction form
    149.78/206.74 = 84.29/x
  3. Step 3: Cross multiply
    149.78x = 206.74 × 84.29
  4. Step 4: Simplify right side
    149.78x = 17,425.88
  5. Step 5: Solve for x
    x = 17,425.88/149.78
  6. Step 6: Final answer
    x = 116.34

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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.