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Finding the Fourth Proportional to 214.65, 321.37 and 200.07

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Solution

The fourth proportional to 214.65, 321.37 and 200.07 is: 299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.65 : 321.37 = 200.07 : x
  2. Step 2: Convert to fraction form
    214.65/321.37 = 200.07/x
  3. Step 3: Cross multiply
    214.65x = 321.37 × 200.07
  4. Step 4: Simplify right side
    214.65x = 64,296.00
  5. Step 5: Solve for x
    x = 64,296.00/214.65
  6. Step 6: Final answer
    x = 299.54

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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.