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Finding the Fourth Proportional to 256.82, 354.71 and 234.64

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Solution

The fourth proportional to 256.82, 354.71 and 234.64 is: 324.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.82 : 354.71 = 234.64 : x
  2. Step 2: Convert to fraction form
    256.82/354.71 = 234.64/x
  3. Step 3: Cross multiply
    256.82x = 354.71 × 234.64
  4. Step 4: Simplify right side
    256.82x = 83,226.21
  5. Step 5: Solve for x
    x = 83,226.21/256.82
  6. Step 6: Final answer
    x = 324.06

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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.