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Finding the Fourth Proportional to 358.36, 536.96 and 221.12

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Solution

The fourth proportional to 358.36, 536.96 and 221.12 is: 331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.36 : 536.96 = 221.12 : x
  2. Step 2: Convert to fraction form
    358.36/536.96 = 221.12/x
  3. Step 3: Cross multiply
    358.36x = 536.96 × 221.12
  4. Step 4: Simplify right side
    358.36x = 118,732.60
  5. Step 5: Solve for x
    x = 118,732.60/358.36
  6. Step 6: Final answer
    x = 331.32

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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.