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Finding the Fourth Proportional to 199.98, 297.90 and 189.72

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Solution

The fourth proportional to 199.98, 297.90 and 189.72 is: 282.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.98 : 297.90 = 189.72 : x
  2. Step 2: Convert to fraction form
    199.98/297.90 = 189.72/x
  3. Step 3: Cross multiply
    199.98x = 297.90 × 189.72
  4. Step 4: Simplify right side
    199.98x = 56,517.59
  5. Step 5: Solve for x
    x = 56,517.59/199.98
  6. Step 6: Final answer
    x = 282.62

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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.