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Finding the Fourth Proportional to 235.65, 324.87 and 198.74

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Solution

The fourth proportional to 235.65, 324.87 and 198.74 is: 273.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.65 : 324.87 = 198.74 : x
  2. Step 2: Convert to fraction form
    235.65/324.87 = 198.74/x
  3. Step 3: Cross multiply
    235.65x = 324.87 × 198.74
  4. Step 4: Simplify right side
    235.65x = 64,564.66
  5. Step 5: Solve for x
    x = 64,564.66/235.65
  6. Step 6: Final answer
    x = 273.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.