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Finding the Fourth Proportional to 234.72, 350.07 and 214.22

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Solution

The fourth proportional to 234.72, 350.07 and 214.22 is: 319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.72 : 350.07 = 214.22 : x
  2. Step 2: Convert to fraction form
    234.72/350.07 = 214.22/x
  3. Step 3: Cross multiply
    234.72x = 350.07 × 214.22
  4. Step 4: Simplify right side
    234.72x = 74,992.29
  5. Step 5: Solve for x
    x = 74,992.29/234.72
  6. Step 6: Final answer
    x = 319.49

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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.