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Finding the Fourth Proportional to 214.88, 322.56 and 206.96

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Solution

The fourth proportional to 214.88, 322.56 and 206.96 is: 310.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.88 : 322.56 = 206.96 : x
  2. Step 2: Convert to fraction form
    214.88/322.56 = 206.96/x
  3. Step 3: Cross multiply
    214.88x = 322.56 × 206.96
  4. Step 4: Simplify right side
    214.88x = 66,757.02
  5. Step 5: Solve for x
    x = 66,757.02/214.88
  6. Step 6: Final answer
    x = 310.67

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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.