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Finding the Fourth Proportional to 213.03, 293.69 and 154.00

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Solution

The fourth proportional to 213.03, 293.69 and 154.00 is: 212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.03 : 293.69 = 154.00 : x
  2. Step 2: Convert to fraction form
    213.03/293.69 = 154.00/x
  3. Step 3: Cross multiply
    213.03x = 293.69 × 154.00
  4. Step 4: Simplify right side
    213.03x = 45,229.01
  5. Step 5: Solve for x
    x = 45,229.01/213.03
  6. Step 6: Final answer
    x = 212.31

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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.