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Finding the Fourth Proportional to 149.85, 206.75 and 84.35

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Solution

The fourth proportional to 149.85, 206.75 and 84.35 is: 116.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.85 : 206.75 = 84.35 : x
  2. Step 2: Convert to fraction form
    149.85/206.75 = 84.35/x
  3. Step 3: Cross multiply
    149.85x = 206.75 × 84.35
  4. Step 4: Simplify right side
    149.85x = 17,438.94
  5. Step 5: Solve for x
    x = 17,438.94/149.85
  6. Step 6: Final answer
    x = 116.38

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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.