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Finding the Fourth Proportional to 177.49, 266.49 and 166.21

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Solution

The fourth proportional to 177.49, 266.49 and 166.21 is: 249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.49 : 266.49 = 166.21 : x
  2. Step 2: Convert to fraction form
    177.49/266.49 = 166.21/x
  3. Step 3: Cross multiply
    177.49x = 266.49 × 166.21
  4. Step 4: Simplify right side
    177.49x = 44,293.30
  5. Step 5: Solve for x
    x = 44,293.30/177.49
  6. Step 6: Final answer
    x = 249.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.