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Finding the Fourth Proportional to 287.38, 396.54 and 193.98

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Solution

The fourth proportional to 287.38, 396.54 and 193.98 is: 267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.38 : 396.54 = 193.98 : x
  2. Step 2: Convert to fraction form
    287.38/396.54 = 193.98/x
  3. Step 3: Cross multiply
    287.38x = 396.54 × 193.98
  4. Step 4: Simplify right side
    287.38x = 76,920.83
  5. Step 5: Solve for x
    x = 76,920.83/287.38
  6. Step 6: Final answer
    x = 267.66

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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.