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Finding the Fourth Proportional to 277.27, 382.45 and 166.78

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Solution

The fourth proportional to 277.27, 382.45 and 166.78 is: 230.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.27 : 382.45 = 166.78 : x
  2. Step 2: Convert to fraction form
    277.27/382.45 = 166.78/x
  3. Step 3: Cross multiply
    277.27x = 382.45 × 166.78
  4. Step 4: Simplify right side
    277.27x = 63,785.01
  5. Step 5: Solve for x
    x = 63,785.01/277.27
  6. Step 6: Final answer
    x = 230.05

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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.