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Finding the Fourth Proportional to 256.59, 354.11 and 146.09

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Solution

The fourth proportional to 256.59, 354.11 and 146.09 is: 201.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.59 : 354.11 = 146.09 : x
  2. Step 2: Convert to fraction form
    256.59/354.11 = 146.09/x
  3. Step 3: Cross multiply
    256.59x = 354.11 × 146.09
  4. Step 4: Simplify right side
    256.59x = 51,732.08
  5. Step 5: Solve for x
    x = 51,732.08/256.59
  6. Step 6: Final answer
    x = 201.61

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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.