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Finding the Fourth Proportional to 256.54, 353.96 and 182.83

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Solution

The fourth proportional to 256.54, 353.96 and 182.83 is: 252.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.54 : 353.96 = 182.83 : x
  2. Step 2: Convert to fraction form
    256.54/353.96 = 182.83/x
  3. Step 3: Cross multiply
    256.54x = 353.96 × 182.83
  4. Step 4: Simplify right side
    256.54x = 64,714.51
  5. Step 5: Solve for x
    x = 64,714.51/256.54
  6. Step 6: Final answer
    x = 252.26

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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.