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Finding the Fourth Proportional to 210.97, 290.96 and 195.38

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Solution

The fourth proportional to 210.97, 290.96 and 195.38 is: 269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.97 : 290.96 = 195.38 : x
  2. Step 2: Convert to fraction form
    210.97/290.96 = 195.38/x
  3. Step 3: Cross multiply
    210.97x = 290.96 × 195.38
  4. Step 4: Simplify right side
    210.97x = 56,847.16
  5. Step 5: Solve for x
    x = 56,847.16/210.97
  6. Step 6: Final answer
    x = 269.45

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Why These Related Problems?

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