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Finding the Fourth Proportional to 301.12, 451.47 and 164.23

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Solution

The fourth proportional to 301.12, 451.47 and 164.23 is: 246.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.12 : 451.47 = 164.23 : x
  2. Step 2: Convert to fraction form
    301.12/451.47 = 164.23/x
  3. Step 3: Cross multiply
    301.12x = 451.47 × 164.23
  4. Step 4: Simplify right side
    301.12x = 74,144.92
  5. Step 5: Solve for x
    x = 74,144.92/301.12
  6. Step 6: Final answer
    x = 246.23

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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.