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Finding the Fourth Proportional to 301.10, 451.38 and 164.21

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Solution

The fourth proportional to 301.10, 451.38 and 164.21 is: 246.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.10 : 451.38 = 164.21 : x
  2. Step 2: Convert to fraction form
    301.10/451.38 = 164.21/x
  3. Step 3: Cross multiply
    301.10x = 451.38 × 164.21
  4. Step 4: Simplify right side
    301.10x = 74,121.11
  5. Step 5: Solve for x
    x = 74,121.11/301.10
  6. Step 6: Final answer
    x = 246.17

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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.