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Finding the Fourth Proportional to 213.98, 319.21 and 179.96

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Solution

The fourth proportional to 213.98, 319.21 and 179.96 is: 268.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.98 : 319.21 = 179.96 : x
  2. Step 2: Convert to fraction form
    213.98/319.21 = 179.96/x
  3. Step 3: Cross multiply
    213.98x = 319.21 × 179.96
  4. Step 4: Simplify right side
    213.98x = 57,442.99
  5. Step 5: Solve for x
    x = 57,442.99/213.98
  6. Step 6: Final answer
    x = 268.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.