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Finding the Fourth Proportional to 256.97, 385.70 and 184.88

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Solution

The fourth proportional to 256.97, 385.70 and 184.88 is: 277.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.97 : 385.70 = 184.88 : x
  2. Step 2: Convert to fraction form
    256.97/385.70 = 184.88/x
  3. Step 3: Cross multiply
    256.97x = 385.70 × 184.88
  4. Step 4: Simplify right side
    256.97x = 71,308.26
  5. Step 5: Solve for x
    x = 71,308.26/256.97
  6. Step 6: Final answer
    x = 277.49

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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.