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Finding the Fourth Proportional to 164.44, 246.74 and 151.08

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Solution

The fourth proportional to 164.44, 246.74 and 151.08 is: 226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.44 : 246.74 = 151.08 : x
  2. Step 2: Convert to fraction form
    164.44/246.74 = 151.08/x
  3. Step 3: Cross multiply
    164.44x = 246.74 × 151.08
  4. Step 4: Simplify right side
    164.44x = 37,275.80
  5. Step 5: Solve for x
    x = 37,275.80/164.44
  6. Step 6: Final answer
    x = 226.68

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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.