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Finding the Fourth Proportional to 213.33, 319.62 and 120.66

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Solution

The fourth proportional to 213.33, 319.62 and 120.66 is: 180.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.33 : 319.62 = 120.66 : x
  2. Step 2: Convert to fraction form
    213.33/319.62 = 120.66/x
  3. Step 3: Cross multiply
    213.33x = 319.62 × 120.66
  4. Step 4: Simplify right side
    213.33x = 38,565.35
  5. Step 5: Solve for x
    x = 38,565.35/213.33
  6. Step 6: Final answer
    x = 180.78

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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.