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Finding the Fourth Proportional to 256.51, 354.12 and 163.31

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Solution

The fourth proportional to 256.51, 354.12 and 163.31 is: 225.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.51 : 354.12 = 163.31 : x
  2. Step 2: Convert to fraction form
    256.51/354.12 = 163.31/x
  3. Step 3: Cross multiply
    256.51x = 354.12 × 163.31
  4. Step 4: Simplify right side
    256.51x = 57,831.34
  5. Step 5: Solve for x
    x = 57,831.34/256.51
  6. Step 6: Final answer
    x = 225.46

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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.