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Finding the Fourth Proportional to 234.96, 323.84 and 202.08

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Solution

The fourth proportional to 234.96, 323.84 and 202.08 is: 278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.96 : 323.84 = 202.08 : x
  2. Step 2: Convert to fraction form
    234.96/323.84 = 202.08/x
  3. Step 3: Cross multiply
    234.96x = 323.84 × 202.08
  4. Step 4: Simplify right side
    234.96x = 65,441.59
  5. Step 5: Solve for x
    x = 65,441.59/234.96
  6. Step 6: Final answer
    x = 278.52

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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.