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Finding the Fourth Proportional to 177.86, 245.64 and 166.94

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Solution

The fourth proportional to 177.86, 245.64 and 166.94 is: 230.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.86 : 245.64 = 166.94 : x
  2. Step 2: Convert to fraction form
    177.86/245.64 = 166.94/x
  3. Step 3: Cross multiply
    177.86x = 245.64 × 166.94
  4. Step 4: Simplify right side
    177.86x = 41,007.14
  5. Step 5: Solve for x
    x = 41,007.14/177.86
  6. Step 6: Final answer
    x = 230.56

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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.