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Finding the Fourth Proportional to 213.22, 319.55 and 97.64

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Solution

The fourth proportional to 213.22, 319.55 and 97.64 is: 146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.22 : 319.55 = 97.64 : x
  2. Step 2: Convert to fraction form
    213.22/319.55 = 97.64/x
  3. Step 3: Cross multiply
    213.22x = 319.55 × 97.64
  4. Step 4: Simplify right side
    213.22x = 31,200.86
  5. Step 5: Solve for x
    x = 31,200.86/213.22
  6. Step 6: Final answer
    x = 146.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.