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Finding the Fourth Proportional to 234.69, 323.96 and 210.08

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Solution

The fourth proportional to 234.69, 323.96 and 210.08 is: 289.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.69 : 323.96 = 210.08 : x
  2. Step 2: Convert to fraction form
    234.69/323.96 = 210.08/x
  3. Step 3: Cross multiply
    234.69x = 323.96 × 210.08
  4. Step 4: Simplify right side
    234.69x = 68,056.47
  5. Step 5: Solve for x
    x = 68,056.47/234.69
  6. Step 6: Final answer
    x = 289.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.