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Finding the Fourth Proportional to 201.84, 301.04 and 183.48

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Solution

The fourth proportional to 201.84, 301.04 and 183.48 is: 273.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.84 : 301.04 = 183.48 : x
  2. Step 2: Convert to fraction form
    201.84/301.04 = 183.48/x
  3. Step 3: Cross multiply
    201.84x = 301.04 × 183.48
  4. Step 4: Simplify right side
    201.84x = 55,233.90
  5. Step 5: Solve for x
    x = 55,233.90/201.84
  6. Step 6: Final answer
    x = 273.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.