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Finding the Fourth Proportional to 177.51, 244.87 and 119.19

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Solution

The fourth proportional to 177.51, 244.87 and 119.19 is: 164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.51 : 244.87 = 119.19 : x
  2. Step 2: Convert to fraction form
    177.51/244.87 = 119.19/x
  3. Step 3: Cross multiply
    177.51x = 244.87 × 119.19
  4. Step 4: Simplify right side
    177.51x = 29,186.06
  5. Step 5: Solve for x
    x = 29,186.06/177.51
  6. Step 6: Final answer
    x = 164.42

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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.