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Finding the Fourth Proportional to 256.49, 354.00 and 145.94

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Solution

The fourth proportional to 256.49, 354.00 and 145.94 is: 201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.49 : 354.00 = 145.94 : x
  2. Step 2: Convert to fraction form
    256.49/354.00 = 145.94/x
  3. Step 3: Cross multiply
    256.49x = 354.00 × 145.94
  4. Step 4: Simplify right side
    256.49x = 51,662.03
  5. Step 5: Solve for x
    x = 51,662.03/256.49
  6. Step 6: Final answer
    x = 201.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.