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Finding the Fourth Proportional to 264.23, 395.60 and 140.56

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Solution

The fourth proportional to 264.23, 395.60 and 140.56 is: 210.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.23 : 395.60 = 140.56 : x
  2. Step 2: Convert to fraction form
    264.23/395.60 = 140.56/x
  3. Step 3: Cross multiply
    264.23x = 395.60 × 140.56
  4. Step 4: Simplify right side
    264.23x = 55,604.90
  5. Step 5: Solve for x
    x = 55,604.90/264.23
  6. Step 6: Final answer
    x = 210.44

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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.