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Finding the Fourth Proportional to 213.95, 295.09 and 143.98

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Solution

The fourth proportional to 213.95, 295.09 and 143.98 is: 198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.95 : 295.09 = 143.98 : x
  2. Step 2: Convert to fraction form
    213.95/295.09 = 143.98/x
  3. Step 3: Cross multiply
    213.95x = 295.09 × 143.98
  4. Step 4: Simplify right side
    213.95x = 42,486.77
  5. Step 5: Solve for x
    x = 42,486.77/213.95
  6. Step 6: Final answer
    x = 198.58

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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.