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Finding the Fourth Proportional to 300.71, 451.02 and 146.50

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Solution

The fourth proportional to 300.71, 451.02 and 146.50 is: 219.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.71 : 451.02 = 146.50 : x
  2. Step 2: Convert to fraction form
    300.71/451.02 = 146.50/x
  3. Step 3: Cross multiply
    300.71x = 451.02 × 146.50
  4. Step 4: Simplify right side
    300.71x = 66,074.43
  5. Step 5: Solve for x
    x = 66,074.43/300.71
  6. Step 6: Final answer
    x = 219.73

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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.