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Finding the Fourth Proportional to 235.12, 352.74 and 98.23

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Solution

The fourth proportional to 235.12, 352.74 and 98.23 is: 147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.12 : 352.74 = 98.23 : x
  2. Step 2: Convert to fraction form
    235.12/352.74 = 98.23/x
  3. Step 3: Cross multiply
    235.12x = 352.74 × 98.23
  4. Step 4: Simplify right side
    235.12x = 34,649.65
  5. Step 5: Solve for x
    x = 34,649.65/235.12
  6. Step 6: Final answer
    x = 147.37

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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.