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Finding the Fourth Proportional to 184.66, 276.64 and 165.22

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Solution

The fourth proportional to 184.66, 276.64 and 165.22 is: 247.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.66 : 276.64 = 165.22 : x
  2. Step 2: Convert to fraction form
    184.66/276.64 = 165.22/x
  3. Step 3: Cross multiply
    184.66x = 276.64 × 165.22
  4. Step 4: Simplify right side
    184.66x = 45,705.36
  5. Step 5: Solve for x
    x = 45,705.36/184.66
  6. Step 6: Final answer
    x = 247.51

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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.