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Finding the Fourth Proportional to 149.83, 206.82 and 117.09

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Solution

The fourth proportional to 149.83, 206.82 and 117.09 is: 161.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.83 : 206.82 = 117.09 : x
  2. Step 2: Convert to fraction form
    149.83/206.82 = 117.09/x
  3. Step 3: Cross multiply
    149.83x = 206.82 × 117.09
  4. Step 4: Simplify right side
    149.83x = 24,216.55
  5. Step 5: Solve for x
    x = 24,216.55/149.83
  6. Step 6: Final answer
    x = 161.63

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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.