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Finding the Fourth Proportional to 301.28, 451.49 and 164.06

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Solution

The fourth proportional to 301.28, 451.49 and 164.06 is: 245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.28 : 451.49 = 164.06 : x
  2. Step 2: Convert to fraction form
    301.28/451.49 = 164.06/x
  3. Step 3: Cross multiply
    301.28x = 451.49 × 164.06
  4. Step 4: Simplify right side
    301.28x = 74,068.37
  5. Step 5: Solve for x
    x = 74,068.37/301.28
  6. Step 6: Final answer
    x = 245.85

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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.