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Finding the Fourth Proportional to 235.47, 352.76 and 194.77

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Solution

The fourth proportional to 235.47, 352.76 and 194.77 is: 291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.47 : 352.76 = 194.77 : x
  2. Step 2: Convert to fraction form
    235.47/352.76 = 194.77/x
  3. Step 3: Cross multiply
    235.47x = 352.76 × 194.77
  4. Step 4: Simplify right side
    235.47x = 68,706.53
  5. Step 5: Solve for x
    x = 68,706.53/235.47
  6. Step 6: Final answer
    x = 291.78

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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.