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Finding the Fourth Proportional to 200.07, 300.21 and 146.43

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Solution

The fourth proportional to 200.07, 300.21 and 146.43 is: 219.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.07 : 300.21 = 146.43 : x
  2. Step 2: Convert to fraction form
    200.07/300.21 = 146.43/x
  3. Step 3: Cross multiply
    200.07x = 300.21 × 146.43
  4. Step 4: Simplify right side
    200.07x = 43,959.75
  5. Step 5: Solve for x
    x = 43,959.75/200.07
  6. Step 6: Final answer
    x = 219.72

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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.