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Finding the Fourth Proportional to 184.72, 254.78 and 119.24

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Solution

The fourth proportional to 184.72, 254.78 and 119.24 is: 164.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.72 : 254.78 = 119.24 : x
  2. Step 2: Convert to fraction form
    184.72/254.78 = 119.24/x
  3. Step 3: Cross multiply
    184.72x = 254.78 × 119.24
  4. Step 4: Simplify right side
    184.72x = 30,379.37
  5. Step 5: Solve for x
    x = 30,379.37/184.72
  6. Step 6: Final answer
    x = 164.47

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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.