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Finding the Fourth Proportional to 234.80, 324.36 and 210.32

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Solution

The fourth proportional to 234.80, 324.36 and 210.32 is: 290.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.80 : 324.36 = 210.32 : x
  2. Step 2: Convert to fraction form
    234.80/324.36 = 210.32/x
  3. Step 3: Cross multiply
    234.80x = 324.36 × 210.32
  4. Step 4: Simplify right side
    234.80x = 68,219.40
  5. Step 5: Solve for x
    x = 68,219.40/234.80
  6. Step 6: Final answer
    x = 290.54

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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.