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Finding the Fourth Proportional to 256.88, 354.12 and 178.04

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Solution

The fourth proportional to 256.88, 354.12 and 178.04 is: 245.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.88 : 354.12 = 178.04 : x
  2. Step 2: Convert to fraction form
    256.88/354.12 = 178.04/x
  3. Step 3: Cross multiply
    256.88x = 354.12 × 178.04
  4. Step 4: Simplify right side
    256.88x = 63,047.52
  5. Step 5: Solve for x
    x = 63,047.52/256.88
  6. Step 6: Final answer
    x = 245.44

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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.