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Finding the Fourth Proportional to 264.46, 396.33 and 148.96

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Solution

The fourth proportional to 264.46, 396.33 and 148.96 is: 223.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.46 : 396.33 = 148.96 : x
  2. Step 2: Convert to fraction form
    264.46/396.33 = 148.96/x
  3. Step 3: Cross multiply
    264.46x = 396.33 × 148.96
  4. Step 4: Simplify right side
    264.46x = 59,037.32
  5. Step 5: Solve for x
    x = 59,037.32/264.46
  6. Step 6: Final answer
    x = 223.24

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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.