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Finding the Fourth Proportional to 318.56, 477.84 and 221.03

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Solution

The fourth proportional to 318.56, 477.84 and 221.03 is: 331.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.56 : 477.84 = 221.03 : x
  2. Step 2: Convert to fraction form
    318.56/477.84 = 221.03/x
  3. Step 3: Cross multiply
    318.56x = 477.84 × 221.03
  4. Step 4: Simplify right side
    318.56x = 105,616.98
  5. Step 5: Solve for x
    x = 105,616.98/318.56
  6. Step 6: Final answer
    x = 331.55

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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.