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Finding the Fourth Proportional to 234.02, 350.70 and 214.04

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Solution

The fourth proportional to 234.02, 350.70 and 214.04 is: 320.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.02 : 350.70 = 214.04 : x
  2. Step 2: Convert to fraction form
    234.02/350.70 = 214.04/x
  3. Step 3: Cross multiply
    234.02x = 350.70 × 214.04
  4. Step 4: Simplify right side
    234.02x = 75,063.83
  5. Step 5: Solve for x
    x = 75,063.83/234.02
  6. Step 6: Final answer
    x = 320.76

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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.