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Finding the Fourth Proportional to 256.11, 353.57 and 157.95

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Solution

The fourth proportional to 256.11, 353.57 and 157.95 is: 218.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.11 : 353.57 = 157.95 : x
  2. Step 2: Convert to fraction form
    256.11/353.57 = 157.95/x
  3. Step 3: Cross multiply
    256.11x = 353.57 × 157.95
  4. Step 4: Simplify right side
    256.11x = 55,845.59
  5. Step 5: Solve for x
    x = 55,845.59/256.11
  6. Step 6: Final answer
    x = 218.05

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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.