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Finding the Fourth Proportional to 214.82, 320.37 and 200.24

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Solution

The fourth proportional to 214.82, 320.37 and 200.24 is: 298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.82 : 320.37 = 200.24 : x
  2. Step 2: Convert to fraction form
    214.82/320.37 = 200.24/x
  3. Step 3: Cross multiply
    214.82x = 320.37 × 200.24
  4. Step 4: Simplify right side
    214.82x = 64,149.29
  5. Step 5: Solve for x
    x = 64,149.29/214.82
  6. Step 6: Final answer
    x = 298.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.