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Finding the Fourth Proportional to 301.36, 451.70 and 164.10

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Solution

The fourth proportional to 301.36, 451.70 and 164.10 is: 245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.36 : 451.70 = 164.10 : x
  2. Step 2: Convert to fraction form
    301.36/451.70 = 164.10/x
  3. Step 3: Cross multiply
    301.36x = 451.70 × 164.10
  4. Step 4: Simplify right side
    301.36x = 74,123.15
  5. Step 5: Solve for x
    x = 74,123.15/301.36
  6. Step 6: Final answer
    x = 245.96

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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.