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Finding the Fourth Proportional to 192.47, 265.46 and 126.86

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Solution

The fourth proportional to 192.47, 265.46 and 126.86 is: 174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.47 : 265.46 = 126.86 : x
  2. Step 2: Convert to fraction form
    192.47/265.46 = 126.86/x
  3. Step 3: Cross multiply
    192.47x = 265.46 × 126.86
  4. Step 4: Simplify right side
    192.47x = 33,674.29
  5. Step 5: Solve for x
    x = 33,674.29/192.47
  6. Step 6: Final answer
    x = 174.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.