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Finding the Fourth Proportional to 277.82, 416.86 and 197.18

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Solution

The fourth proportional to 277.82, 416.86 and 197.18 is: 295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.82 : 416.86 = 197.18 : x
  2. Step 2: Convert to fraction form
    277.82/416.86 = 197.18/x
  3. Step 3: Cross multiply
    277.82x = 416.86 × 197.18
  4. Step 4: Simplify right side
    277.82x = 82,196.45
  5. Step 5: Solve for x
    x = 82,196.45/277.82
  6. Step 6: Final answer
    x = 295.86

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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.