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Finding the Fourth Proportional to 184.64, 254.72 and 119.13

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Solution

The fourth proportional to 184.64, 254.72 and 119.13 is: 164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.64 : 254.72 = 119.13 : x
  2. Step 2: Convert to fraction form
    184.64/254.72 = 119.13/x
  3. Step 3: Cross multiply
    184.64x = 254.72 × 119.13
  4. Step 4: Simplify right side
    184.64x = 30,344.79
  5. Step 5: Solve for x
    x = 30,344.79/184.64
  6. Step 6: Final answer
    x = 164.35

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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.