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Finding the Fourth Proportional to 355.86, 533.97 and 139.41

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Solution

The fourth proportional to 355.86, 533.97 and 139.41 is: 209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.86 : 533.97 = 139.41 : x
  2. Step 2: Convert to fraction form
    355.86/533.97 = 139.41/x
  3. Step 3: Cross multiply
    355.86x = 533.97 × 139.41
  4. Step 4: Simplify right side
    355.86x = 74,440.76
  5. Step 5: Solve for x
    x = 74,440.76/355.86
  6. Step 6: Final answer
    x = 209.19

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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.