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Finding the Fourth Proportional to 277.54, 382.50 and 222.46

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Solution

The fourth proportional to 277.54, 382.50 and 222.46 is: 306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.54 : 382.50 = 222.46 : x
  2. Step 2: Convert to fraction form
    277.54/382.50 = 222.46/x
  3. Step 3: Cross multiply
    277.54x = 382.50 × 222.46
  4. Step 4: Simplify right side
    277.54x = 85,090.95
  5. Step 5: Solve for x
    x = 85,090.95/277.54
  6. Step 6: Final answer
    x = 306.59

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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.