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Finding the Fourth Proportional to 148, 204 and 133.48

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Solution

The fourth proportional to 148, 204 and 133.48 is: 183.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    148 : 204 = 133.48 : x
  2. Step 2: Convert to fraction form
    148/204 = 133.48/x
  3. Step 3: Cross multiply
    148x = 204 × 133.48
  4. Step 4: Simplify right side
    148x = 27,229.92
  5. Step 5: Solve for x
    x = 27,229.92/148
  6. Step 6: Final answer
    x = 183.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.