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Finding the Fourth Proportional to 185.04, 276.84 and 164.88

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Solution

The fourth proportional to 185.04, 276.84 and 164.88 is: 246.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.04 : 276.84 = 164.88 : x
  2. Step 2: Convert to fraction form
    185.04/276.84 = 164.88/x
  3. Step 3: Cross multiply
    185.04x = 276.84 × 164.88
  4. Step 4: Simplify right side
    185.04x = 45,645.38
  5. Step 5: Solve for x
    x = 45,645.38/185.04
  6. Step 6: Final answer
    x = 246.68

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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.