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Finding the Fourth Proportional to 256.46, 385.01 and 126.59

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Solution

The fourth proportional to 256.46, 385.01 and 126.59 is: 190.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.46 : 385.01 = 126.59 : x
  2. Step 2: Convert to fraction form
    256.46/385.01 = 126.59/x
  3. Step 3: Cross multiply
    256.46x = 385.01 × 126.59
  4. Step 4: Simplify right side
    256.46x = 48,735.86
  5. Step 5: Solve for x
    x = 48,735.86/256.46
  6. Step 6: Final answer
    x = 190.04

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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.