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Finding the Fourth Proportional to 148.27, 222.16 and 135.83

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Solution

The fourth proportional to 148.27, 222.16 and 135.83 is: 203.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.27 : 222.16 = 135.83 : x
  2. Step 2: Convert to fraction form
    148.27/222.16 = 135.83/x
  3. Step 3: Cross multiply
    148.27x = 222.16 × 135.83
  4. Step 4: Simplify right side
    148.27x = 30,175.99
  5. Step 5: Solve for x
    x = 30,175.99/148.27
  6. Step 6: Final answer
    x = 203.52

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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.