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Finding the Fourth Proportional to 235.70, 351.87 and 199.24

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Solution

The fourth proportional to 235.70, 351.87 and 199.24 is: 297.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.70 : 351.87 = 199.24 : x
  2. Step 2: Convert to fraction form
    235.70/351.87 = 199.24/x
  3. Step 3: Cross multiply
    235.70x = 351.87 × 199.24
  4. Step 4: Simplify right side
    235.70x = 70,106.58
  5. Step 5: Solve for x
    x = 70,106.58/235.70
  6. Step 6: Final answer
    x = 297.44

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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.