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Finding the Fourth Proportional to 358.08, 537.12 and 213.84

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Solution

The fourth proportional to 358.08, 537.12 and 213.84 is: 320.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.08 : 537.12 = 213.84 : x
  2. Step 2: Convert to fraction form
    358.08/537.12 = 213.84/x
  3. Step 3: Cross multiply
    358.08x = 537.12 × 213.84
  4. Step 4: Simplify right side
    358.08x = 114,857.74
  5. Step 5: Solve for x
    x = 114,857.74/358.08
  6. Step 6: Final answer
    x = 320.76

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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.