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Finding the Fourth Proportional to 277.23, 382.56 and 166.64

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Solution

The fourth proportional to 277.23, 382.56 and 166.64 is: 229.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.23 : 382.56 = 166.64 : x
  2. Step 2: Convert to fraction form
    277.23/382.56 = 166.64/x
  3. Step 3: Cross multiply
    277.23x = 382.56 × 166.64
  4. Step 4: Simplify right side
    277.23x = 63,747.89
  5. Step 5: Solve for x
    x = 63,747.89/277.23
  6. Step 6: Final answer
    x = 229.95

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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.