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Finding the Fourth Proportional to 277.30, 382.83 and 184.17

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Solution

The fourth proportional to 277.30, 382.83 and 184.17 is: 254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.30 : 382.83 = 184.17 : x
  2. Step 2: Convert to fraction form
    277.30/382.83 = 184.17/x
  3. Step 3: Cross multiply
    277.30x = 382.83 × 184.17
  4. Step 4: Simplify right side
    277.30x = 70,505.80
  5. Step 5: Solve for x
    x = 70,505.80/277.30
  6. Step 6: Final answer
    x = 254.26

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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.