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Finding the Fourth Proportional to 277.41, 382.68 and 184.26

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Solution

The fourth proportional to 277.41, 382.68 and 184.26 is: 254.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.41 : 382.68 = 184.26 : x
  2. Step 2: Convert to fraction form
    277.41/382.68 = 184.26/x
  3. Step 3: Cross multiply
    277.41x = 382.68 × 184.26
  4. Step 4: Simplify right side
    277.41x = 70,512.62
  5. Step 5: Solve for x
    x = 70,512.62/277.41
  6. Step 6: Final answer
    x = 254.18

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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.