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Finding the Fourth Proportional to 256.82, 384.76 and 169.94

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Solution

The fourth proportional to 256.82, 384.76 and 169.94 is: 254.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.82 : 384.76 = 169.94 : x
  2. Step 2: Convert to fraction form
    256.82/384.76 = 169.94/x
  3. Step 3: Cross multiply
    256.82x = 384.76 × 169.94
  4. Step 4: Simplify right side
    256.82x = 65,386.65
  5. Step 5: Solve for x
    x = 65,386.65/256.82
  6. Step 6: Final answer
    x = 254.61

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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.