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Finding the Fourth Proportional to 300.29, 450.71 and 146.30

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Solution

The fourth proportional to 300.29, 450.71 and 146.30 is: 219.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.29 : 450.71 = 146.30 : x
  2. Step 2: Convert to fraction form
    300.29/450.71 = 146.30/x
  3. Step 3: Cross multiply
    300.29x = 450.71 × 146.30
  4. Step 4: Simplify right side
    300.29x = 65,936.99
  5. Step 5: Solve for x
    x = 65,936.99/300.29
  6. Step 6: Final answer
    x = 219.58

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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.