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Finding the Fourth Proportional to 184.46, 254.46 and 106.79

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Solution

The fourth proportional to 184.46, 254.46 and 106.79 is: 147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.46 : 254.46 = 106.79 : x
  2. Step 2: Convert to fraction form
    184.46/254.46 = 106.79/x
  3. Step 3: Cross multiply
    184.46x = 254.46 × 106.79
  4. Step 4: Simplify right side
    184.46x = 27,172.51
  5. Step 5: Solve for x
    x = 27,172.51/184.46
  6. Step 6: Final answer
    x = 147.31

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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.