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Finding the Fourth Proportional to 149.83, 224.81 and 109.46

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Solution

The fourth proportional to 149.83, 224.81 and 109.46 is: 164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.83 : 224.81 = 109.46 : x
  2. Step 2: Convert to fraction form
    149.83/224.81 = 109.46/x
  3. Step 3: Cross multiply
    149.83x = 224.81 × 109.46
  4. Step 4: Simplify right side
    149.83x = 24,607.16
  5. Step 5: Solve for x
    x = 24,607.16/149.83
  6. Step 6: Final answer
    x = 164.24

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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.