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Finding the Fourth Proportional to 200.56, 300.39 and 146.40

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Solution

The fourth proportional to 200.56, 300.39 and 146.40 is: 219.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.56 : 300.39 = 146.40 : x
  2. Step 2: Convert to fraction form
    200.56/300.39 = 146.40/x
  3. Step 3: Cross multiply
    200.56x = 300.39 × 146.40
  4. Step 4: Simplify right side
    200.56x = 43,977.10
  5. Step 5: Solve for x
    x = 43,977.10/200.56
  6. Step 6: Final answer
    x = 219.27

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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.