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Finding the Fourth Proportional to 184.45, 276.36 and 164.20

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Solution

The fourth proportional to 184.45, 276.36 and 164.20 is: 246.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.45 : 276.36 = 164.20 : x
  2. Step 2: Convert to fraction form
    184.45/276.36 = 164.20/x
  3. Step 3: Cross multiply
    184.45x = 276.36 × 164.20
  4. Step 4: Simplify right side
    184.45x = 45,378.31
  5. Step 5: Solve for x
    x = 45,378.31/184.45
  6. Step 6: Final answer
    x = 246.02

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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.