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Finding the Fourth Proportional to 192.82, 266.22 and 114.16

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Solution

The fourth proportional to 192.82, 266.22 and 114.16 is: 157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.82 : 266.22 = 114.16 : x
  2. Step 2: Convert to fraction form
    192.82/266.22 = 114.16/x
  3. Step 3: Cross multiply
    192.82x = 266.22 × 114.16
  4. Step 4: Simplify right side
    192.82x = 30,392.86
  5. Step 5: Solve for x
    x = 30,392.86/192.82
  6. Step 6: Final answer
    x = 157.62

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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.