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Finding the Fourth Proportional to 281.21, 385.16 and 264.60

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Solution

The fourth proportional to 281.21, 385.16 and 264.60 is: 362.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.21 : 385.16 = 264.60 : x
  2. Step 2: Convert to fraction form
    281.21/385.16 = 264.60/x
  3. Step 3: Cross multiply
    281.21x = 385.16 × 264.60
  4. Step 4: Simplify right side
    281.21x = 101,912.01
  5. Step 5: Solve for x
    x = 101,912.01/281.21
  6. Step 6: Final answer
    x = 362.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.