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Finding the Fourth Proportional to 355.69, 533.08 and 193.49

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Solution

The fourth proportional to 355.69, 533.08 and 193.49 is: 289.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.69 : 533.08 = 193.49 : x
  2. Step 2: Convert to fraction form
    355.69/533.08 = 193.49/x
  3. Step 3: Cross multiply
    355.69x = 533.08 × 193.49
  4. Step 4: Simplify right side
    355.69x = 103,145.22
  5. Step 5: Solve for x
    x = 103,145.22/355.69
  6. Step 6: Final answer
    x = 289.99

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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.