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Finding the Fourth Proportional to 318.26, 438.99 and 201.98

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Solution

The fourth proportional to 318.26, 438.99 and 201.98 is: 278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.26 : 438.99 = 201.98 : x
  2. Step 2: Convert to fraction form
    318.26/438.99 = 201.98/x
  3. Step 3: Cross multiply
    318.26x = 438.99 × 201.98
  4. Step 4: Simplify right side
    318.26x = 88,667.20
  5. Step 5: Solve for x
    x = 88,667.20/318.26
  6. Step 6: Final answer
    x = 278.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.