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Finding the Fourth Proportional to 148.23, 222.12 and 99.59

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Solution

The fourth proportional to 148.23, 222.12 and 99.59 is: 149.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.23 : 222.12 = 99.59 : x
  2. Step 2: Convert to fraction form
    148.23/222.12 = 99.59/x
  3. Step 3: Cross multiply
    148.23x = 222.12 × 99.59
  4. Step 4: Simplify right side
    148.23x = 22,119.82
  5. Step 5: Solve for x
    x = 22,119.82/148.23
  6. Step 6: Final answer
    x = 149.23

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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.