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Finding the Fourth Proportional to 199.07, 298.43 and 117.98

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Solution

The fourth proportional to 199.07, 298.43 and 117.98 is: 176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.07 : 298.43 = 117.98 : x
  2. Step 2: Convert to fraction form
    199.07/298.43 = 117.98/x
  3. Step 3: Cross multiply
    199.07x = 298.43 × 117.98
  4. Step 4: Simplify right side
    199.07x = 35,208.18
  5. Step 5: Solve for x
    x = 35,208.18/199.07
  6. Step 6: Final answer
    x = 176.86

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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.