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Finding the Fourth Proportional to 355.05, 531.95 and 192.83

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Solution

The fourth proportional to 355.05, 531.95 and 192.83 is: 288.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.05 : 531.95 = 192.83 : x
  2. Step 2: Convert to fraction form
    355.05/531.95 = 192.83/x
  3. Step 3: Cross multiply
    355.05x = 531.95 × 192.83
  4. Step 4: Simplify right side
    355.05x = 102,572.29
  5. Step 5: Solve for x
    x = 102,572.29/355.05
  6. Step 6: Final answer
    x = 288.90

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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.