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Finding the Fourth Proportional to 196.59, 294.65 and 161.96

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Solution

The fourth proportional to 196.59, 294.65 and 161.96 is: 242.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.59 : 294.65 = 161.96 : x
  2. Step 2: Convert to fraction form
    196.59/294.65 = 161.96/x
  3. Step 3: Cross multiply
    196.59x = 294.65 × 161.96
  4. Step 4: Simplify right side
    196.59x = 47,721.51
  5. Step 5: Solve for x
    x = 47,721.51/196.59
  6. Step 6: Final answer
    x = 242.75

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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.