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Finding the Fourth Proportional to 256.50, 354.05 and 164.50

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Solution

The fourth proportional to 256.50, 354.05 and 164.50 is: 227.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.50 : 354.05 = 164.50 : x
  2. Step 2: Convert to fraction form
    256.50/354.05 = 164.50/x
  3. Step 3: Cross multiply
    256.50x = 354.05 × 164.50
  4. Step 4: Simplify right side
    256.50x = 58,241.23
  5. Step 5: Solve for x
    x = 58,241.23/256.50
  6. Step 6: Final answer
    x = 227.06

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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.