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Finding the Fourth Proportional to 355.92, 533.66 and 173.13

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Solution

The fourth proportional to 355.92, 533.66 and 173.13 is: 259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.92 : 533.66 = 173.13 : x
  2. Step 2: Convert to fraction form
    355.92/533.66 = 173.13/x
  3. Step 3: Cross multiply
    355.92x = 533.66 × 173.13
  4. Step 4: Simplify right side
    355.92x = 92,390.34
  5. Step 5: Solve for x
    x = 92,390.34/355.92
  6. Step 6: Final answer
    x = 259.58

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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.