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Finding the Fourth Proportional to 149.74, 224.26 and 109.06

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Solution

The fourth proportional to 149.74, 224.26 and 109.06 is: 163.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.74 : 224.26 = 109.06 : x
  2. Step 2: Convert to fraction form
    149.74/224.26 = 109.06/x
  3. Step 3: Cross multiply
    149.74x = 224.26 × 109.06
  4. Step 4: Simplify right side
    149.74x = 24,457.80
  5. Step 5: Solve for x
    x = 24,457.80/149.74
  6. Step 6: Final answer
    x = 163.34

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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.