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Finding the Fourth Proportional to 177.05, 264.64 and 161.56

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Solution

The fourth proportional to 177.05, 264.64 and 161.56 is: 241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.05 : 264.64 = 161.56 : x
  2. Step 2: Convert to fraction form
    177.05/264.64 = 161.56/x
  3. Step 3: Cross multiply
    177.05x = 264.64 × 161.56
  4. Step 4: Simplify right side
    177.05x = 42,755.24
  5. Step 5: Solve for x
    x = 42,755.24/177.05
  6. Step 6: Final answer
    x = 241.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.