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Finding the Fourth Proportional to 242.27, 362.97 and 194.07

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Solution

The fourth proportional to 242.27, 362.97 and 194.07 is: 290.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.27 : 362.97 = 194.07 : x
  2. Step 2: Convert to fraction form
    242.27/362.97 = 194.07/x
  3. Step 3: Cross multiply
    242.27x = 362.97 × 194.07
  4. Step 4: Simplify right side
    242.27x = 70,441.59
  5. Step 5: Solve for x
    x = 70,441.59/242.27
  6. Step 6: Final answer
    x = 290.76

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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.