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Finding the Fourth Proportional to 199.58, 300.88 and 186.80

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Solution

The fourth proportional to 199.58, 300.88 and 186.80 is: 281.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.58 : 300.88 = 186.80 : x
  2. Step 2: Convert to fraction form
    199.58/300.88 = 186.80/x
  3. Step 3: Cross multiply
    199.58x = 300.88 × 186.80
  4. Step 4: Simplify right side
    199.58x = 56,203.45
  5. Step 5: Solve for x
    x = 56,203.45/199.58
  6. Step 6: Final answer
    x = 281.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.