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Finding the Fourth Proportional to 211.69, 291.96 and 138.10

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Solution

The fourth proportional to 211.69, 291.96 and 138.10 is: 190.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.69 : 291.96 = 138.10 : x
  2. Step 2: Convert to fraction form
    211.69/291.96 = 138.10/x
  3. Step 3: Cross multiply
    211.69x = 291.96 × 138.10
  4. Step 4: Simplify right side
    211.69x = 40,319.68
  5. Step 5: Solve for x
    x = 40,319.68/211.69
  6. Step 6: Final answer
    x = 190.47

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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.