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Finding the Fourth Proportional to 256.67, 354.25 and 146.13

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Solution

The fourth proportional to 256.67, 354.25 and 146.13 is: 201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.67 : 354.25 = 146.13 : x
  2. Step 2: Convert to fraction form
    256.67/354.25 = 146.13/x
  3. Step 3: Cross multiply
    256.67x = 354.25 × 146.13
  4. Step 4: Simplify right side
    256.67x = 51,764.78
  5. Step 5: Solve for x
    x = 51,764.78/256.67
  6. Step 6: Final answer
    x = 201.68

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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.