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Finding the Fourth Proportional to 177.38, 244.98 and 119.06

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Solution

The fourth proportional to 177.38, 244.98 and 119.06 is: 164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.38 : 244.98 = 119.06 : x
  2. Step 2: Convert to fraction form
    177.38/244.98 = 119.06/x
  3. Step 3: Cross multiply
    177.38x = 244.98 × 119.06
  4. Step 4: Simplify right side
    177.38x = 29,166.09
  5. Step 5: Solve for x
    x = 29,166.09/177.38
  6. Step 6: Final answer
    x = 164.43

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Why These Related Problems?

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