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Finding the Fourth Proportional to 277.38, 382.76 and 166.84

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Solution

The fourth proportional to 277.38, 382.76 and 166.84 is: 230.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.38 : 382.76 = 166.84 : x
  2. Step 2: Convert to fraction form
    277.38/382.76 = 166.84/x
  3. Step 3: Cross multiply
    277.38x = 382.76 × 166.84
  4. Step 4: Simplify right side
    277.38x = 63,859.68
  5. Step 5: Solve for x
    x = 63,859.68/277.38
  6. Step 6: Final answer
    x = 230.22

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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.