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Finding the Fourth Proportional to 184.55, 254.70 and 119.21

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Solution

The fourth proportional to 184.55, 254.70 and 119.21 is: 164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.55 : 254.70 = 119.21 : x
  2. Step 2: Convert to fraction form
    184.55/254.70 = 119.21/x
  3. Step 3: Cross multiply
    184.55x = 254.70 × 119.21
  4. Step 4: Simplify right side
    184.55x = 30,362.79
  5. Step 5: Solve for x
    x = 30,362.79/184.55
  6. Step 6: Final answer
    x = 164.52

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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.