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Finding the Fourth Proportional to 256, 353.29 and 139.57

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Solution

The fourth proportional to 256, 353.29 and 139.57 is: 192.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256 : 353.29 = 139.57 : x
  2. Step 2: Convert to fraction form
    256/353.29 = 139.57/x
  3. Step 3: Cross multiply
    256x = 353.29 × 139.57
  4. Step 4: Simplify right side
    256x = 49,308.34
  5. Step 5: Solve for x
    x = 49,308.34/256
  6. Step 6: Final answer
    x = 192.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.