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Finding the Fourth Proportional to 192.98, 266.04 and 165.22

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Solution

The fourth proportional to 192.98, 266.04 and 165.22 is: 227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.98 : 266.04 = 165.22 : x
  2. Step 2: Convert to fraction form
    192.98/266.04 = 165.22/x
  3. Step 3: Cross multiply
    192.98x = 266.04 × 165.22
  4. Step 4: Simplify right side
    192.98x = 43,955.13
  5. Step 5: Solve for x
    x = 43,955.13/192.98
  6. Step 6: Final answer
    x = 227.77

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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.