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Finding the Fourth Proportional to 277.24, 382.67 and 184.06

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Solution

The fourth proportional to 277.24, 382.67 and 184.06 is: 254.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.24 : 382.67 = 184.06 : x
  2. Step 2: Convert to fraction form
    277.24/382.67 = 184.06/x
  3. Step 3: Cross multiply
    277.24x = 382.67 × 184.06
  4. Step 4: Simplify right side
    277.24x = 70,434.24
  5. Step 5: Solve for x
    x = 70,434.24/277.24
  6. Step 6: Final answer
    x = 254.06

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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.