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Finding the Fourth Proportional to 213.16, 294.15 and 138.50

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Solution

The fourth proportional to 213.16, 294.15 and 138.50 is: 191.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.16 : 294.15 = 138.50 : x
  2. Step 2: Convert to fraction form
    213.16/294.15 = 138.50/x
  3. Step 3: Cross multiply
    213.16x = 294.15 × 138.50
  4. Step 4: Simplify right side
    213.16x = 40,739.78
  5. Step 5: Solve for x
    x = 40,739.78/213.16
  6. Step 6: Final answer
    x = 191.12

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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.