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Finding the Fourth Proportional to 264.20, 396.33 and 88.44

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Solution

The fourth proportional to 264.20, 396.33 and 88.44 is: 132.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.20 : 396.33 = 88.44 : x
  2. Step 2: Convert to fraction form
    264.20/396.33 = 88.44/x
  3. Step 3: Cross multiply
    264.20x = 396.33 × 88.44
  4. Step 4: Simplify right side
    264.20x = 35,051.43
  5. Step 5: Solve for x
    x = 35,051.43/264.20
  6. Step 6: Final answer
    x = 132.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.