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Finding the Fourth Proportional to 211.22, 291.38 and 137.54

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Solution

The fourth proportional to 211.22, 291.38 and 137.54 is: 189.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.22 : 291.38 = 137.54 : x
  2. Step 2: Convert to fraction form
    211.22/291.38 = 137.54/x
  3. Step 3: Cross multiply
    211.22x = 291.38 × 137.54
  4. Step 4: Simplify right side
    211.22x = 40,077.48
  5. Step 5: Solve for x
    x = 40,077.48/211.22
  6. Step 6: Final answer
    x = 189.75

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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.