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Finding the Fourth Proportional to 256.86, 384.94 and 126.70

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Solution

The fourth proportional to 256.86, 384.94 and 126.70 is: 189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.86 : 384.94 = 126.70 : x
  2. Step 2: Convert to fraction form
    256.86/384.94 = 126.70/x
  3. Step 3: Cross multiply
    256.86x = 384.94 × 126.70
  4. Step 4: Simplify right side
    256.86x = 48,771.90
  5. Step 5: Solve for x
    x = 48,771.90/256.86
  6. Step 6: Final answer
    x = 189.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.