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Finding the Fourth Proportional to 264.63, 398.49 and 196.64

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Solution

The fourth proportional to 264.63, 398.49 and 196.64 is: 296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.63 : 398.49 = 196.64 : x
  2. Step 2: Convert to fraction form
    264.63/398.49 = 196.64/x
  3. Step 3: Cross multiply
    264.63x = 398.49 × 196.64
  4. Step 4: Simplify right side
    264.63x = 78,359.07
  5. Step 5: Solve for x
    x = 78,359.07/264.63
  6. Step 6: Final answer
    x = 296.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.