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Finding the Fourth Proportional to 177.45, 244.84 and 119.19

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Solution

The fourth proportional to 177.45, 244.84 and 119.19 is: 164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.45 : 244.84 = 119.19 : x
  2. Step 2: Convert to fraction form
    177.45/244.84 = 119.19/x
  3. Step 3: Cross multiply
    177.45x = 244.84 × 119.19
  4. Step 4: Simplify right side
    177.45x = 29,182.48
  5. Step 5: Solve for x
    x = 29,182.48/177.45
  6. Step 6: Final answer
    x = 164.45

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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.