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Finding the Fourth Proportional to 213.45, 294.34 and 190.10

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Solution

The fourth proportional to 213.45, 294.34 and 190.10 is: 262.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.45 : 294.34 = 190.10 : x
  2. Step 2: Convert to fraction form
    213.45/294.34 = 190.10/x
  3. Step 3: Cross multiply
    213.45x = 294.34 × 190.10
  4. Step 4: Simplify right side
    213.45x = 55,954.03
  5. Step 5: Solve for x
    x = 55,954.03/213.45
  6. Step 6: Final answer
    x = 262.14

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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.