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Finding the Fourth Proportional to 355.26, 533.23 and 193.06

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Solution

The fourth proportional to 355.26, 533.23 and 193.06 is: 289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.26 : 533.23 = 193.06 : x
  2. Step 2: Convert to fraction form
    355.26/533.23 = 193.06/x
  3. Step 3: Cross multiply
    355.26x = 533.23 × 193.06
  4. Step 4: Simplify right side
    355.26x = 102,943.57
  5. Step 5: Solve for x
    x = 102,943.57/355.26
  6. Step 6: Final answer
    x = 289.77

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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.