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Finding the Fourth Proportional to 234.74, 324.08 and 208.79

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Solution

The fourth proportional to 234.74, 324.08 and 208.79 is: 288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.74 : 324.08 = 208.79 : x
  2. Step 2: Convert to fraction form
    234.74/324.08 = 208.79/x
  3. Step 3: Cross multiply
    234.74x = 324.08 × 208.79
  4. Step 4: Simplify right side
    234.74x = 67,664.66
  5. Step 5: Solve for x
    x = 67,664.66/234.74
  6. Step 6: Final answer
    x = 288.25

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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.