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Finding the Fourth Proportional to 214.87, 322.61 and 203.67

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Solution

The fourth proportional to 214.87, 322.61 and 203.67 is: 305.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.87 : 322.61 = 203.67 : x
  2. Step 2: Convert to fraction form
    214.87/322.61 = 203.67/x
  3. Step 3: Cross multiply
    214.87x = 322.61 × 203.67
  4. Step 4: Simplify right side
    214.87x = 65,705.98
  5. Step 5: Solve for x
    x = 65,705.98/214.87
  6. Step 6: Final answer
    x = 305.79

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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.