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Finding the Fourth Proportional to 355.48, 533.02 and 193.12

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Solution

The fourth proportional to 355.48, 533.02 and 193.12 is: 289.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.48 : 533.02 = 193.12 : x
  2. Step 2: Convert to fraction form
    355.48/533.02 = 193.12/x
  3. Step 3: Cross multiply
    355.48x = 533.02 × 193.12
  4. Step 4: Simplify right side
    355.48x = 102,936.82
  5. Step 5: Solve for x
    x = 102,936.82/355.48
  6. Step 6: Final answer
    x = 289.57

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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.