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Finding the Fourth Proportional to 255.84, 353.06 and 139.41

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Solution

The fourth proportional to 255.84, 353.06 and 139.41 is: 192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.84 : 353.06 = 139.41 : x
  2. Step 2: Convert to fraction form
    255.84/353.06 = 139.41/x
  3. Step 3: Cross multiply
    255.84x = 353.06 × 139.41
  4. Step 4: Simplify right side
    255.84x = 49,219.38
  5. Step 5: Solve for x
    x = 49,219.38/255.84
  6. Step 6: Final answer
    x = 192.38

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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.