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Finding the Fourth Proportional to 268.98, 371.46 and 214

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Solution

The fourth proportional to 268.98, 371.46 and 214 is: 295.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.98 : 371.46 = 214 : x
  2. Step 2: Convert to fraction form
    268.98/371.46 = 214/x
  3. Step 3: Cross multiply
    268.98x = 371.46 × 214
  4. Step 4: Simplify right side
    268.98x = 79,492.44
  5. Step 5: Solve for x
    x = 79,492.44/268.98
  6. Step 6: Final answer
    x = 295.53

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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.