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Finding the Fourth Proportional to 355.35, 533.26 and 193.15

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Solution

The fourth proportional to 355.35, 533.26 and 193.15 is: 289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.35 : 533.26 = 193.15 : x
  2. Step 2: Convert to fraction form
    355.35/533.26 = 193.15/x
  3. Step 3: Cross multiply
    355.35x = 533.26 × 193.15
  4. Step 4: Simplify right side
    355.35x = 102,996.50
  5. Step 5: Solve for x
    x = 102,996.50/355.35
  6. Step 6: Final answer
    x = 289.85

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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.