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Finding the Fourth Proportional to 235.21, 352.84 and 98.27

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Solution

The fourth proportional to 235.21, 352.84 and 98.27 is: 147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.21 : 352.84 = 98.27 : x
  2. Step 2: Convert to fraction form
    235.21/352.84 = 98.27/x
  3. Step 3: Cross multiply
    235.21x = 352.84 × 98.27
  4. Step 4: Simplify right side
    235.21x = 34,674.08
  5. Step 5: Solve for x
    x = 34,674.08/235.21
  6. Step 6: Final answer
    x = 147.42

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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.