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Finding the Fourth Proportional to 296.50, 443.37 and 214.49

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Solution

The fourth proportional to 296.50, 443.37 and 214.49 is: 320.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.50 : 443.37 = 214.49 : x
  2. Step 2: Convert to fraction form
    296.50/443.37 = 214.49/x
  3. Step 3: Cross multiply
    296.50x = 443.37 × 214.49
  4. Step 4: Simplify right side
    296.50x = 95,096.21
  5. Step 5: Solve for x
    x = 95,096.21/296.50
  6. Step 6: Final answer
    x = 320.73

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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.