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Finding the Fourth Proportional to 177.26, 265.98 and 166.46

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Solution

The fourth proportional to 177.26, 265.98 and 166.46 is: 249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.26 : 265.98 = 166.46 : x
  2. Step 2: Convert to fraction form
    177.26/265.98 = 166.46/x
  3. Step 3: Cross multiply
    177.26x = 265.98 × 166.46
  4. Step 4: Simplify right side
    177.26x = 44,275.03
  5. Step 5: Solve for x
    x = 44,275.03/177.26
  6. Step 6: Final answer
    x = 249.77

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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.