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Finding the Fourth Proportional to 148.83, 223.14 and 133.77

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Solution

The fourth proportional to 148.83, 223.14 and 133.77 is: 200.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.83 : 223.14 = 133.77 : x
  2. Step 2: Convert to fraction form
    148.83/223.14 = 133.77/x
  3. Step 3: Cross multiply
    148.83x = 223.14 × 133.77
  4. Step 4: Simplify right side
    148.83x = 29,849.44
  5. Step 5: Solve for x
    x = 29,849.44/148.83
  6. Step 6: Final answer
    x = 200.56

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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.