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Finding the Fourth Proportional to 149.81, 224.01 and 110.84

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Solution

The fourth proportional to 149.81, 224.01 and 110.84 is: 165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.81 : 224.01 = 110.84 : x
  2. Step 2: Convert to fraction form
    149.81/224.01 = 110.84/x
  3. Step 3: Cross multiply
    149.81x = 224.01 × 110.84
  4. Step 4: Simplify right side
    149.81x = 24,828.15
  5. Step 5: Solve for x
    x = 24,828.15/149.81
  6. Step 6: Final answer
    x = 165.74

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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.