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Finding the Fourth Proportional to 149.80, 224.86 and 109.10

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Solution

The fourth proportional to 149.80, 224.86 and 109.10 is: 163.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.80 : 224.86 = 109.10 : x
  2. Step 2: Convert to fraction form
    149.80/224.86 = 109.10/x
  3. Step 3: Cross multiply
    149.80x = 224.86 × 109.10
  4. Step 4: Simplify right side
    149.80x = 24,532.23
  5. Step 5: Solve for x
    x = 24,532.23/149.80
  6. Step 6: Final answer
    x = 163.77

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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.