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Finding the Fourth Proportional to 256.41, 384.41 and 112.23

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Solution

The fourth proportional to 256.41, 384.41 and 112.23 is: 168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.41 : 384.41 = 112.23 : x
  2. Step 2: Convert to fraction form
    256.41/384.41 = 112.23/x
  3. Step 3: Cross multiply
    256.41x = 384.41 × 112.23
  4. Step 4: Simplify right side
    256.41x = 43,141.77
  5. Step 5: Solve for x
    x = 43,141.77/256.41
  6. Step 6: Final answer
    x = 168.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.