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Finding the Fourth Proportional to 256.90, 354.64 and 163.66

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Solution

The fourth proportional to 256.90, 354.64 and 163.66 is: 225.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.90 : 354.64 = 163.66 : x
  2. Step 2: Convert to fraction form
    256.90/354.64 = 163.66/x
  3. Step 3: Cross multiply
    256.90x = 354.64 × 163.66
  4. Step 4: Simplify right side
    256.90x = 58,040.38
  5. Step 5: Solve for x
    x = 58,040.38/256.90
  6. Step 6: Final answer
    x = 225.93

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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.