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Finding the Fourth Proportional to 192.55, 265.60 and 126.27

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Solution

The fourth proportional to 192.55, 265.60 and 126.27 is: 174.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.55 : 265.60 = 126.27 : x
  2. Step 2: Convert to fraction form
    192.55/265.60 = 126.27/x
  3. Step 3: Cross multiply
    192.55x = 265.60 × 126.27
  4. Step 4: Simplify right side
    192.55x = 33,537.31
  5. Step 5: Solve for x
    x = 33,537.31/192.55
  6. Step 6: Final answer
    x = 174.17

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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.