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Finding the Fourth Proportional to 277.35, 382.73 and 166.82

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Solution

The fourth proportional to 277.35, 382.73 and 166.82 is: 230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.35 : 382.73 = 166.82 : x
  2. Step 2: Convert to fraction form
    277.35/382.73 = 166.82/x
  3. Step 3: Cross multiply
    277.35x = 382.73 × 166.82
  4. Step 4: Simplify right side
    277.35x = 63,846.48
  5. Step 5: Solve for x
    x = 63,846.48/277.35
  6. Step 6: Final answer
    x = 230.21

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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.