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Finding the Fourth Proportional to 238.32, 327.57 and 210.54

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Solution

The fourth proportional to 238.32, 327.57 and 210.54 is: 289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.32 : 327.57 = 210.54 : x
  2. Step 2: Convert to fraction form
    238.32/327.57 = 210.54/x
  3. Step 3: Cross multiply
    238.32x = 327.57 × 210.54
  4. Step 4: Simplify right side
    238.32x = 68,966.59
  5. Step 5: Solve for x
    x = 68,966.59/238.32
  6. Step 6: Final answer
    x = 289.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.