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Finding the Fourth Proportional to 177.01, 243.60 and 161.48

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Solution

The fourth proportional to 177.01, 243.60 and 161.48 is: 222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.01 : 243.60 = 161.48 : x
  2. Step 2: Convert to fraction form
    177.01/243.60 = 161.48/x
  3. Step 3: Cross multiply
    177.01x = 243.60 × 161.48
  4. Step 4: Simplify right side
    177.01x = 39,336.53
  5. Step 5: Solve for x
    x = 39,336.53/177.01
  6. Step 6: Final answer
    x = 222.23

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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.