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Finding the Fourth Proportional to 184.63, 276.66 and 164.38

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Solution

The fourth proportional to 184.63, 276.66 and 164.38 is: 246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.63 : 276.66 = 164.38 : x
  2. Step 2: Convert to fraction form
    184.63/276.66 = 164.38/x
  3. Step 3: Cross multiply
    184.63x = 276.66 × 164.38
  4. Step 4: Simplify right side
    184.63x = 45,477.37
  5. Step 5: Solve for x
    x = 45,477.37/184.63
  6. Step 6: Final answer
    x = 246.32

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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.