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Finding the Fourth Proportional to 259.12, 388.06 and 200.92

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Solution

The fourth proportional to 259.12, 388.06 and 200.92 is: 300.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.12 : 388.06 = 200.92 : x
  2. Step 2: Convert to fraction form
    259.12/388.06 = 200.92/x
  3. Step 3: Cross multiply
    259.12x = 388.06 × 200.92
  4. Step 4: Simplify right side
    259.12x = 77,969.02
  5. Step 5: Solve for x
    x = 77,969.02/259.12
  6. Step 6: Final answer
    x = 300.90

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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.