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Finding the Fourth Proportional to 256.54, 384.75 and 112.18

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Solution

The fourth proportional to 256.54, 384.75 and 112.18 is: 168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.54 : 384.75 = 112.18 : x
  2. Step 2: Convert to fraction form
    256.54/384.75 = 112.18/x
  3. Step 3: Cross multiply
    256.54x = 384.75 × 112.18
  4. Step 4: Simplify right side
    256.54x = 43,161.26
  5. Step 5: Solve for x
    x = 43,161.26/256.54
  6. Step 6: Final answer
    x = 168.24

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Why These Related Problems?

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