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Finding the Fourth Proportional to 235.14, 352.64 and 194.46

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Solution

The fourth proportional to 235.14, 352.64 and 194.46 is: 291.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.14 : 352.64 = 194.46 : x
  2. Step 2: Convert to fraction form
    235.14/352.64 = 194.46/x
  3. Step 3: Cross multiply
    235.14x = 352.64 × 194.46
  4. Step 4: Simplify right side
    235.14x = 68,574.37
  5. Step 5: Solve for x
    x = 68,574.37/235.14
  6. Step 6: Final answer
    x = 291.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.