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Finding the Fourth Proportional to 256.98, 354.37 and 201.70

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Solution

The fourth proportional to 256.98, 354.37 and 201.70 is: 278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.98 : 354.37 = 201.70 : x
  2. Step 2: Convert to fraction form
    256.98/354.37 = 201.70/x
  3. Step 3: Cross multiply
    256.98x = 354.37 × 201.70
  4. Step 4: Simplify right side
    256.98x = 71,476.43
  5. Step 5: Solve for x
    x = 71,476.43/256.98
  6. Step 6: Final answer
    x = 278.14

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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.