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Finding the Fourth Proportional to 200.62, 301.24 and 192.30

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Solution

The fourth proportional to 200.62, 301.24 and 192.30 is: 288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.62 : 301.24 = 192.30 : x
  2. Step 2: Convert to fraction form
    200.62/301.24 = 192.30/x
  3. Step 3: Cross multiply
    200.62x = 301.24 × 192.30
  4. Step 4: Simplify right side
    200.62x = 57,928.45
  5. Step 5: Solve for x
    x = 57,928.45/200.62
  6. Step 6: Final answer
    x = 288.75

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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.