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Finding the Fourth Proportional to 300.64, 451.01 and 146.84

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Solution

The fourth proportional to 300.64, 451.01 and 146.84 is: 220.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.64 : 451.01 = 146.84 : x
  2. Step 2: Convert to fraction form
    300.64/451.01 = 146.84/x
  3. Step 3: Cross multiply
    300.64x = 451.01 × 146.84
  4. Step 4: Simplify right side
    300.64x = 66,226.31
  5. Step 5: Solve for x
    x = 66,226.31/300.64
  6. Step 6: Final answer
    x = 220.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.