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Finding the Fourth Proportional to 211.11, 291.22 and 128.25

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Solution

The fourth proportional to 211.11, 291.22 and 128.25 is: 176.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.11 : 291.22 = 128.25 : x
  2. Step 2: Convert to fraction form
    211.11/291.22 = 128.25/x
  3. Step 3: Cross multiply
    211.11x = 291.22 × 128.25
  4. Step 4: Simplify right side
    211.11x = 37,348.97
  5. Step 5: Solve for x
    x = 37,348.97/211.11
  6. Step 6: Final answer
    x = 176.92

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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.