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Finding the Fourth Proportional to 357.96, 536.70 and 213.78

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Solution

The fourth proportional to 357.96, 536.70 and 213.78 is: 320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.96 : 536.70 = 213.78 : x
  2. Step 2: Convert to fraction form
    357.96/536.70 = 213.78/x
  3. Step 3: Cross multiply
    357.96x = 536.70 × 213.78
  4. Step 4: Simplify right side
    357.96x = 114,735.73
  5. Step 5: Solve for x
    x = 114,735.73/357.96
  6. Step 6: Final answer
    x = 320.53

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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.