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Finding the Fourth Proportional to 264.44, 396.56 and 102.16

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Solution

The fourth proportional to 264.44, 396.56 and 102.16 is: 153.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.44 : 396.56 = 102.16 : x
  2. Step 2: Convert to fraction form
    264.44/396.56 = 102.16/x
  3. Step 3: Cross multiply
    264.44x = 396.56 × 102.16
  4. Step 4: Simplify right side
    264.44x = 40,512.57
  5. Step 5: Solve for x
    x = 40,512.57/264.44
  6. Step 6: Final answer
    x = 153.20

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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.