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Finding the Fourth Proportional to 138.30, 211.10 and 138.30

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Solution

The fourth proportional to 138.30, 211.10 and 138.30 is: 211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.30 : 211.10 = 138.30 : x
  2. Step 2: Convert to fraction form
    138.30/211.10 = 138.30/x
  3. Step 3: Cross multiply
    138.30x = 211.10 × 138.30
  4. Step 4: Simplify right side
    138.30x = 29,194.44
  5. Step 5: Solve for x
    x = 29,194.44/138.30
  6. Step 6: Final answer
    x = 211.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.