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Finding the Fourth Proportional to 149.68, 223.16 and 137.62

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Solution

The fourth proportional to 149.68, 223.16 and 137.62 is: 205.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.68 : 223.16 = 137.62 : x
  2. Step 2: Convert to fraction form
    149.68/223.16 = 137.62/x
  3. Step 3: Cross multiply
    149.68x = 223.16 × 137.62
  4. Step 4: Simplify right side
    149.68x = 30,711.28
  5. Step 5: Solve for x
    x = 30,711.28/149.68
  6. Step 6: Final answer
    x = 205.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.