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Finding the Fourth Proportional to 177.41, 265.62 and 166.93

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Solution

The fourth proportional to 177.41, 265.62 and 166.93 is: 249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.41 : 265.62 = 166.93 : x
  2. Step 2: Convert to fraction form
    177.41/265.62 = 166.93/x
  3. Step 3: Cross multiply
    177.41x = 265.62 × 166.93
  4. Step 4: Simplify right side
    177.41x = 44,339.95
  5. Step 5: Solve for x
    x = 44,339.95/177.41
  6. Step 6: Final answer
    x = 249.93

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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.