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Finding the Fourth Proportional to 184.51, 254.46 and 119.02

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Solution

The fourth proportional to 184.51, 254.46 and 119.02 is: 164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.51 : 254.46 = 119.02 : x
  2. Step 2: Convert to fraction form
    184.51/254.46 = 119.02/x
  3. Step 3: Cross multiply
    184.51x = 254.46 × 119.02
  4. Step 4: Simplify right side
    184.51x = 30,285.83
  5. Step 5: Solve for x
    x = 30,285.83/184.51
  6. Step 6: Final answer
    x = 164.14

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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.