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Finding the Fourth Proportional to 184.16, 276.16 and 107.15

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Solution

The fourth proportional to 184.16, 276.16 and 107.15 is: 160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.16 : 276.16 = 107.15 : x
  2. Step 2: Convert to fraction form
    184.16/276.16 = 107.15/x
  3. Step 3: Cross multiply
    184.16x = 276.16 × 107.15
  4. Step 4: Simplify right side
    184.16x = 29,589.72
  5. Step 5: Solve for x
    x = 29,589.72/184.16
  6. Step 6: Final answer
    x = 160.67

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Why These Related Problems?

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