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Finding the Fourth Proportional to 257.76, 356.00 and 238.32

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Solution

The fourth proportional to 257.76, 356.00 and 238.32 is: 329.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.76 : 356.00 = 238.32 : x
  2. Step 2: Convert to fraction form
    257.76/356.00 = 238.32/x
  3. Step 3: Cross multiply
    257.76x = 356.00 × 238.32
  4. Step 4: Simplify right side
    257.76x = 84,840.73
  5. Step 5: Solve for x
    x = 84,840.73/257.76
  6. Step 6: Final answer
    x = 329.15

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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.