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Finding the Fourth Proportional to 148.75, 222.99 and 110.23

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Solution

The fourth proportional to 148.75, 222.99 and 110.23 is: 165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.75 : 222.99 = 110.23 : x
  2. Step 2: Convert to fraction form
    148.75/222.99 = 110.23/x
  3. Step 3: Cross multiply
    148.75x = 222.99 × 110.23
  4. Step 4: Simplify right side
    148.75x = 24,580.19
  5. Step 5: Solve for x
    x = 24,580.19/148.75
  6. Step 6: Final answer
    x = 165.24

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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.