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Finding the Fourth Proportional to 177.01, 244.34 and 122.04

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Solution

The fourth proportional to 177.01, 244.34 and 122.04 is: 168.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.01 : 244.34 = 122.04 : x
  2. Step 2: Convert to fraction form
    177.01/244.34 = 122.04/x
  3. Step 3: Cross multiply
    177.01x = 244.34 × 122.04
  4. Step 4: Simplify right side
    177.01x = 29,819.25
  5. Step 5: Solve for x
    x = 29,819.25/177.01
  6. Step 6: Final answer
    x = 168.46

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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.