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Finding the Fourth Proportional to 213.88, 319.16 and 189.60

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Solution

The fourth proportional to 213.88, 319.16 and 189.60 is: 282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.88 : 319.16 = 189.60 : x
  2. Step 2: Convert to fraction form
    213.88/319.16 = 189.60/x
  3. Step 3: Cross multiply
    213.88x = 319.16 × 189.60
  4. Step 4: Simplify right side
    213.88x = 60,512.74
  5. Step 5: Solve for x
    x = 60,512.74/213.88
  6. Step 6: Final answer
    x = 282.93

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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.