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Finding the Fourth Proportional to 256.92, 385.40 and 229.64

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Solution

The fourth proportional to 256.92, 385.40 and 229.64 is: 344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.92 : 385.40 = 229.64 : x
  2. Step 2: Convert to fraction form
    256.92/385.40 = 229.64/x
  3. Step 3: Cross multiply
    256.92x = 385.40 × 229.64
  4. Step 4: Simplify right side
    256.92x = 88,503.26
  5. Step 5: Solve for x
    x = 88,503.26/256.92
  6. Step 6: Final answer
    x = 344.48

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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.