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Finding the Fourth Proportional to 277.53, 382.92 and 166.97

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Solution

The fourth proportional to 277.53, 382.92 and 166.97 is: 230.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.53 : 382.92 = 166.97 : x
  2. Step 2: Convert to fraction form
    277.53/382.92 = 166.97/x
  3. Step 3: Cross multiply
    277.53x = 382.92 × 166.97
  4. Step 4: Simplify right side
    277.53x = 63,934.24
  5. Step 5: Solve for x
    x = 63,934.24/277.53
  6. Step 6: Final answer
    x = 230.37

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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.