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Finding the Fourth Proportional to 301.47, 451.23 and 164.18

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Solution

The fourth proportional to 301.47, 451.23 and 164.18 is: 245.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.47 : 451.23 = 164.18 : x
  2. Step 2: Convert to fraction form
    301.47/451.23 = 164.18/x
  3. Step 3: Cross multiply
    301.47x = 451.23 × 164.18
  4. Step 4: Simplify right side
    301.47x = 74,082.94
  5. Step 5: Solve for x
    x = 74,082.94/301.47
  6. Step 6: Final answer
    x = 245.74

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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.