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Finding the Fourth Proportional to 192.90, 266.13 and 110.00

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Solution

The fourth proportional to 192.90, 266.13 and 110.00 is: 151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.90 : 266.13 = 110.00 : x
  2. Step 2: Convert to fraction form
    192.90/266.13 = 110.00/x
  3. Step 3: Cross multiply
    192.90x = 266.13 × 110.00
  4. Step 4: Simplify right side
    192.90x = 29,272.97
  5. Step 5: Solve for x
    x = 29,272.97/192.90
  6. Step 6: Final answer
    x = 151.75

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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.