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Finding the Fourth Proportional to 177.55, 244.46 and 161.35

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Solution

The fourth proportional to 177.55, 244.46 and 161.35 is: 222.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.55 : 244.46 = 161.35 : x
  2. Step 2: Convert to fraction form
    177.55/244.46 = 161.35/x
  3. Step 3: Cross multiply
    177.55x = 244.46 × 161.35
  4. Step 4: Simplify right side
    177.55x = 39,443.62
  5. Step 5: Solve for x
    x = 39,443.62/177.55
  6. Step 6: Final answer
    x = 222.16

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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.