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Finding the Fourth Proportional to 192.77, 265.85 and 165.03

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Solution

The fourth proportional to 192.77, 265.85 and 165.03 is: 227.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.77 : 265.85 = 165.03 : x
  2. Step 2: Convert to fraction form
    192.77/265.85 = 165.03/x
  3. Step 3: Cross multiply
    192.77x = 265.85 × 165.03
  4. Step 4: Simplify right side
    192.77x = 43,871.07
  5. Step 5: Solve for x
    x = 43,871.07/192.77
  6. Step 6: Final answer
    x = 227.58

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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.