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Finding the Fourth Proportional to 256.79, 384.82 and 126.65

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Solution

The fourth proportional to 256.79, 384.82 and 126.65 is: 189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.79 : 384.82 = 126.65 : x
  2. Step 2: Convert to fraction form
    256.79/384.82 = 126.65/x
  3. Step 3: Cross multiply
    256.79x = 384.82 × 126.65
  4. Step 4: Simplify right side
    256.79x = 48,738.10
  5. Step 5: Solve for x
    x = 48,738.10/256.79
  6. Step 6: Final answer
    x = 189.80

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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.