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Finding the Fourth Proportional to 201.75, 302.28 and 192.61

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Solution

The fourth proportional to 201.75, 302.28 and 192.61 is: 288.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.75 : 302.28 = 192.61 : x
  2. Step 2: Convert to fraction form
    201.75/302.28 = 192.61/x
  3. Step 3: Cross multiply
    201.75x = 302.28 × 192.61
  4. Step 4: Simplify right side
    201.75x = 58,222.15
  5. Step 5: Solve for x
    x = 58,222.15/201.75
  6. Step 6: Final answer
    x = 288.59

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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.