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Finding the Fourth Proportional to 192.68, 266.19 and 134.63

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Solution

The fourth proportional to 192.68, 266.19 and 134.63 is: 185.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.68 : 266.19 = 134.63 : x
  2. Step 2: Convert to fraction form
    192.68/266.19 = 134.63/x
  3. Step 3: Cross multiply
    192.68x = 266.19 × 134.63
  4. Step 4: Simplify right side
    192.68x = 35,837.16
  5. Step 5: Solve for x
    x = 35,837.16/192.68
  6. Step 6: Final answer
    x = 185.99

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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.