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Finding the Fourth Proportional to 184.45, 254.70 and 119.07

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Solution

The fourth proportional to 184.45, 254.70 and 119.07 is: 164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.45 : 254.70 = 119.07 : x
  2. Step 2: Convert to fraction form
    184.45/254.70 = 119.07/x
  3. Step 3: Cross multiply
    184.45x = 254.70 × 119.07
  4. Step 4: Simplify right side
    184.45x = 30,325.86
  5. Step 5: Solve for x
    x = 30,325.86/184.45
  6. Step 6: Final answer
    x = 164.42

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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.