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Finding the Fourth Proportional to 355.23, 532.96 and 192.83

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Solution

The fourth proportional to 355.23, 532.96 and 192.83 is: 289.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.23 : 532.96 = 192.83 : x
  2. Step 2: Convert to fraction form
    355.23/532.96 = 192.83/x
  3. Step 3: Cross multiply
    355.23x = 532.96 × 192.83
  4. Step 4: Simplify right side
    355.23x = 102,767.53
  5. Step 5: Solve for x
    x = 102,767.53/355.23
  6. Step 6: Final answer
    x = 289.30

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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.