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Finding the Fourth Proportional to 355.39, 533.25 and 192.88

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Solution

The fourth proportional to 355.39, 533.25 and 192.88 is: 289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.39 : 533.25 = 192.88 : x
  2. Step 2: Convert to fraction form
    355.39/533.25 = 192.88/x
  3. Step 3: Cross multiply
    355.39x = 533.25 × 192.88
  4. Step 4: Simplify right side
    355.39x = 102,853.26
  5. Step 5: Solve for x
    x = 102,853.26/355.39
  6. Step 6: Final answer
    x = 289.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.