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Finding the Fourth Proportional to 184.56, 254.72 and 118.20

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Solution

The fourth proportional to 184.56, 254.72 and 118.20 is: 163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.56 : 254.72 = 118.20 : x
  2. Step 2: Convert to fraction form
    184.56/254.72 = 118.20/x
  3. Step 3: Cross multiply
    184.56x = 254.72 × 118.20
  4. Step 4: Simplify right side
    184.56x = 30,107.90
  5. Step 5: Solve for x
    x = 30,107.90/184.56
  6. Step 6: Final answer
    x = 163.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.