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Finding the Fourth Proportional to 184.74, 276.75 and 116.16

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Solution

The fourth proportional to 184.74, 276.75 and 116.16 is: 174.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.74 : 276.75 = 116.16 : x
  2. Step 2: Convert to fraction form
    184.74/276.75 = 116.16/x
  3. Step 3: Cross multiply
    184.74x = 276.75 × 116.16
  4. Step 4: Simplify right side
    184.74x = 32,147.28
  5. Step 5: Solve for x
    x = 32,147.28/184.74
  6. Step 6: Final answer
    x = 174.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.