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Finding the Fourth Proportional to 256.81, 354.41 and 146.31

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Solution

The fourth proportional to 256.81, 354.41 and 146.31 is: 201.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.81 : 354.41 = 146.31 : x
  2. Step 2: Convert to fraction form
    256.81/354.41 = 146.31/x
  3. Step 3: Cross multiply
    256.81x = 354.41 × 146.31
  4. Step 4: Simplify right side
    256.81x = 51,853.73
  5. Step 5: Solve for x
    x = 51,853.73/256.81
  6. Step 6: Final answer
    x = 201.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.