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Finding the Fourth Proportional to 300.95, 451.12 and 146.64

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Solution

The fourth proportional to 300.95, 451.12 and 146.64 is: 219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.95 : 451.12 = 146.64 : x
  2. Step 2: Convert to fraction form
    300.95/451.12 = 146.64/x
  3. Step 3: Cross multiply
    300.95x = 451.12 × 146.64
  4. Step 4: Simplify right side
    300.95x = 66,152.24
  5. Step 5: Solve for x
    x = 66,152.24/300.95
  6. Step 6: Final answer
    x = 219.81

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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.