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Finding the Fourth Proportional to 177, 244.05 and 142.17

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Solution

The fourth proportional to 177, 244.05 and 142.17 is: 196.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    177 : 244.05 = 142.17 : x
  2. Step 2: Convert to fraction form
    177/244.05 = 142.17/x
  3. Step 3: Cross multiply
    177x = 244.05 × 142.17
  4. Step 4: Simplify right side
    177x = 34,696.59
  5. Step 5: Solve for x
    x = 34,696.59/177
  6. Step 6: Final answer
    x = 196.03

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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.