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Finding the Fourth Proportional to 209.54, 315.93 and 195.62

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Solution

The fourth proportional to 209.54, 315.93 and 195.62 is: 294.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.54 : 315.93 = 195.62 : x
  2. Step 2: Convert to fraction form
    209.54/315.93 = 195.62/x
  3. Step 3: Cross multiply
    209.54x = 315.93 × 195.62
  4. Step 4: Simplify right side
    209.54x = 61,802.23
  5. Step 5: Solve for x
    x = 61,802.23/209.54
  6. Step 6: Final answer
    x = 294.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.