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Finding the Fourth Proportional to 213.45, 318.33 and 194.01

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Solution

The fourth proportional to 213.45, 318.33 and 194.01 is: 289.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.45 : 318.33 = 194.01 : x
  2. Step 2: Convert to fraction form
    213.45/318.33 = 194.01/x
  3. Step 3: Cross multiply
    213.45x = 318.33 × 194.01
  4. Step 4: Simplify right side
    213.45x = 61,759.20
  5. Step 5: Solve for x
    x = 61,759.20/213.45
  6. Step 6: Final answer
    x = 289.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.