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Finding the Fourth Proportional to 264.64, 396.72 and 206.56

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Solution

The fourth proportional to 264.64, 396.72 and 206.56 is: 309.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.64 : 396.72 = 206.56 : x
  2. Step 2: Convert to fraction form
    264.64/396.72 = 206.56/x
  3. Step 3: Cross multiply
    264.64x = 396.72 × 206.56
  4. Step 4: Simplify right side
    264.64x = 81,946.48
  5. Step 5: Solve for x
    x = 81,946.48/264.64
  6. Step 6: Final answer
    x = 309.65

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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.