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Finding the Fourth Proportional to 381.21, 572 and 208.03

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Solution

The fourth proportional to 381.21, 572 and 208.03 is: 312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.21 : 572 = 208.03 : x
  2. Step 2: Convert to fraction form
    381.21/572 = 208.03/x
  3. Step 3: Cross multiply
    381.21x = 572 × 208.03
  4. Step 4: Simplify right side
    381.21x = 118,993.16
  5. Step 5: Solve for x
    x = 118,993.16/381.21
  6. Step 6: Final answer
    x = 312.15

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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.