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Finding the Fourth Proportional to 210.88, 290.64 and 197.92

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Solution

The fourth proportional to 210.88, 290.64 and 197.92 is: 272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.88 : 290.64 = 197.92 : x
  2. Step 2: Convert to fraction form
    210.88/290.64 = 197.92/x
  3. Step 3: Cross multiply
    210.88x = 290.64 × 197.92
  4. Step 4: Simplify right side
    210.88x = 57,523.47
  5. Step 5: Solve for x
    x = 57,523.47/210.88
  6. Step 6: Final answer
    x = 272.78

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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.