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Finding the Fourth Proportional to 256.98, 353.82 and 201

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Solution

The fourth proportional to 256.98, 353.82 and 201 is: 276.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.98 : 353.82 = 201 : x
  2. Step 2: Convert to fraction form
    256.98/353.82 = 201/x
  3. Step 3: Cross multiply
    256.98x = 353.82 × 201
  4. Step 4: Simplify right side
    256.98x = 71,117.82
  5. Step 5: Solve for x
    x = 71,117.82/256.98
  6. Step 6: Final answer
    x = 276.74

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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.