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Finding the Fourth Proportional to 355.84, 533.78 and 139.41

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Solution

The fourth proportional to 355.84, 533.78 and 139.41 is: 209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.84 : 533.78 = 139.41 : x
  2. Step 2: Convert to fraction form
    355.84/533.78 = 139.41/x
  3. Step 3: Cross multiply
    355.84x = 533.78 × 139.41
  4. Step 4: Simplify right side
    355.84x = 74,414.27
  5. Step 5: Solve for x
    x = 74,414.27/355.84
  6. Step 6: Final answer
    x = 209.12

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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.