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Finding the Fourth Proportional to 192.75, 266.01 and 115.14

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Solution

The fourth proportional to 192.75, 266.01 and 115.14 is: 158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.75 : 266.01 = 115.14 : x
  2. Step 2: Convert to fraction form
    192.75/266.01 = 115.14/x
  3. Step 3: Cross multiply
    192.75x = 266.01 × 115.14
  4. Step 4: Simplify right side
    192.75x = 30,628.39
  5. Step 5: Solve for x
    x = 30,628.39/192.75
  6. Step 6: Final answer
    x = 158.90

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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.