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Finding the Fourth Proportional to 235.19, 352.84 and 106.94

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Solution

The fourth proportional to 235.19, 352.84 and 106.94 is: 160.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.19 : 352.84 = 106.94 : x
  2. Step 2: Convert to fraction form
    235.19/352.84 = 106.94/x
  3. Step 3: Cross multiply
    235.19x = 352.84 × 106.94
  4. Step 4: Simplify right side
    235.19x = 37,732.71
  5. Step 5: Solve for x
    x = 37,732.71/235.19
  6. Step 6: Final answer
    x = 160.44

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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.