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Finding the Fourth Proportional to 177.41, 244.14 and 169.58

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Solution

The fourth proportional to 177.41, 244.14 and 169.58 is: 233.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.41 : 244.14 = 169.58 : x
  2. Step 2: Convert to fraction form
    177.41/244.14 = 169.58/x
  3. Step 3: Cross multiply
    177.41x = 244.14 × 169.58
  4. Step 4: Simplify right side
    177.41x = 41,401.26
  5. Step 5: Solve for x
    x = 41,401.26/177.41
  6. Step 6: Final answer
    x = 233.36

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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.