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Finding the Fourth Proportional to 184.80, 254.92 and 107.16

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Solution

The fourth proportional to 184.80, 254.92 and 107.16 is: 147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.80 : 254.92 = 107.16 : x
  2. Step 2: Convert to fraction form
    184.80/254.92 = 107.16/x
  3. Step 3: Cross multiply
    184.80x = 254.92 × 107.16
  4. Step 4: Simplify right side
    184.80x = 27,317.23
  5. Step 5: Solve for x
    x = 27,317.23/184.80
  6. Step 6: Final answer
    x = 147.82

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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.