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Finding the Fourth Proportional to 357.30, 536.90 and 220.68

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Solution

The fourth proportional to 357.30, 536.90 and 220.68 is: 331.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.30 : 536.90 = 220.68 : x
  2. Step 2: Convert to fraction form
    357.30/536.90 = 220.68/x
  3. Step 3: Cross multiply
    357.30x = 536.90 × 220.68
  4. Step 4: Simplify right side
    357.30x = 118,481.99
  5. Step 5: Solve for x
    x = 118,481.99/357.30
  6. Step 6: Final answer
    x = 331.60

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