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Finding the Fourth Proportional to 358.21, 536.91 and 213.63

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Solution

The fourth proportional to 358.21, 536.91 and 213.63 is: 320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.21 : 536.91 = 213.63 : x
  2. Step 2: Convert to fraction form
    358.21/536.91 = 213.63/x
  3. Step 3: Cross multiply
    358.21x = 536.91 × 213.63
  4. Step 4: Simplify right side
    358.21x = 114,700.08
  5. Step 5: Solve for x
    x = 114,700.08/358.21
  6. Step 6: Final answer
    x = 320.20

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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.