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Finding the Fourth Proportional to 287.06, 396.05 and 193.82

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Solution

The fourth proportional to 287.06, 396.05 and 193.82 is: 267.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.06 : 396.05 = 193.82 : x
  2. Step 2: Convert to fraction form
    287.06/396.05 = 193.82/x
  3. Step 3: Cross multiply
    287.06x = 396.05 × 193.82
  4. Step 4: Simplify right side
    287.06x = 76,759.46
  5. Step 5: Solve for x
    x = 76,759.46/287.06
  6. Step 6: Final answer
    x = 267.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.