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Finding the Fourth Proportional to 149.22, 223.92 and 139.74

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Solution

The fourth proportional to 149.22, 223.92 and 139.74 is: 209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.22 : 223.92 = 139.74 : x
  2. Step 2: Convert to fraction form
    149.22/223.92 = 139.74/x
  3. Step 3: Cross multiply
    149.22x = 223.92 × 139.74
  4. Step 4: Simplify right side
    149.22x = 31,290.58
  5. Step 5: Solve for x
    x = 31,290.58/149.22
  6. Step 6: Final answer
    x = 209.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.