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Finding the Fourth Proportional to 214.50, 320.29 and 200.74

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Solution

The fourth proportional to 214.50, 320.29 and 200.74 is: 299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.50 : 320.29 = 200.74 : x
  2. Step 2: Convert to fraction form
    214.50/320.29 = 200.74/x
  3. Step 3: Cross multiply
    214.50x = 320.29 × 200.74
  4. Step 4: Simplify right side
    214.50x = 64,295.01
  5. Step 5: Solve for x
    x = 64,295.01/214.50
  6. Step 6: Final answer
    x = 299.74

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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.