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Finding the Fourth Proportional to 199.07, 298.64 and 70.82

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Solution

The fourth proportional to 199.07, 298.64 and 70.82 is: 106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.07 : 298.64 = 70.82 : x
  2. Step 2: Convert to fraction form
    199.07/298.64 = 70.82/x
  3. Step 3: Cross multiply
    199.07x = 298.64 × 70.82
  4. Step 4: Simplify right side
    199.07x = 21,148.19
  5. Step 5: Solve for x
    x = 21,148.19/199.07
  6. Step 6: Final answer
    x = 106.24

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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.