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Finding the Fourth Proportional to 256.92, 385.38 and 192.84

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Solution

The fourth proportional to 256.92, 385.38 and 192.84 is: 289.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.92 : 385.38 = 192.84 : x
  2. Step 2: Convert to fraction form
    256.92/385.38 = 192.84/x
  3. Step 3: Cross multiply
    256.92x = 385.38 × 192.84
  4. Step 4: Simplify right side
    256.92x = 74,316.68
  5. Step 5: Solve for x
    x = 74,316.68/256.92
  6. Step 6: Final answer
    x = 289.26

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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.