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Finding the Fourth Proportional to 355.83, 533.59 and 193.33

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Solution

The fourth proportional to 355.83, 533.59 and 193.33 is: 289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.83 : 533.59 = 193.33 : x
  2. Step 2: Convert to fraction form
    355.83/533.59 = 193.33/x
  3. Step 3: Cross multiply
    355.83x = 533.59 × 193.33
  4. Step 4: Simplify right side
    355.83x = 103,158.95
  5. Step 5: Solve for x
    x = 103,158.95/355.83
  6. Step 6: Final answer
    x = 289.91

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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.