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Finding the Fourth Proportional to 213.24, 319.88 and 68.98

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Solution

The fourth proportional to 213.24, 319.88 and 68.98 is: 103.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.24 : 319.88 = 68.98 : x
  2. Step 2: Convert to fraction form
    213.24/319.88 = 68.98/x
  3. Step 3: Cross multiply
    213.24x = 319.88 × 68.98
  4. Step 4: Simplify right side
    213.24x = 22,065.32
  5. Step 5: Solve for x
    x = 22,065.32/213.24
  6. Step 6: Final answer
    x = 103.48

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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.