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Finding the Fourth Proportional to 192.84, 265.99 and 119.06

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Solution

The fourth proportional to 192.84, 265.99 and 119.06 is: 164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.84 : 265.99 = 119.06 : x
  2. Step 2: Convert to fraction form
    192.84/265.99 = 119.06/x
  3. Step 3: Cross multiply
    192.84x = 265.99 × 119.06
  4. Step 4: Simplify right side
    192.84x = 31,668.77
  5. Step 5: Solve for x
    x = 31,668.77/192.84
  6. Step 6: Final answer
    x = 164.22

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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.