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Finding the Fourth Proportional to 216.33, 297.68 and 195.63

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Solution

The fourth proportional to 216.33, 297.68 and 195.63 is: 269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.33 : 297.68 = 195.63 : x
  2. Step 2: Convert to fraction form
    216.33/297.68 = 195.63/x
  3. Step 3: Cross multiply
    216.33x = 297.68 × 195.63
  4. Step 4: Simplify right side
    216.33x = 58,232.67
  5. Step 5: Solve for x
    x = 58,232.67/216.33
  6. Step 6: Final answer
    x = 269.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.