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Finding the Fourth Proportional to 149.88, 223.95 and 110.67

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Solution

The fourth proportional to 149.88, 223.95 and 110.67 is: 165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.88 : 223.95 = 110.67 : x
  2. Step 2: Convert to fraction form
    149.88/223.95 = 110.67/x
  3. Step 3: Cross multiply
    149.88x = 223.95 × 110.67
  4. Step 4: Simplify right side
    149.88x = 24,783.99
  5. Step 5: Solve for x
    x = 24,783.99/149.88
  6. Step 6: Final answer
    x = 165.36

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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.