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Finding the Fourth Proportional to 256.16, 352.96 and 197.76

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Solution

The fourth proportional to 256.16, 352.96 and 197.76 is: 272.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.16 : 352.96 = 197.76 : x
  2. Step 2: Convert to fraction form
    256.16/352.96 = 197.76/x
  3. Step 3: Cross multiply
    256.16x = 352.96 × 197.76
  4. Step 4: Simplify right side
    256.16x = 69,801.37
  5. Step 5: Solve for x
    x = 69,801.37/256.16
  6. Step 6: Final answer
    x = 272.49

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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.