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Finding the Fourth Proportional to 345.86, 518.63 and 191.73

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Solution

The fourth proportional to 345.86, 518.63 and 191.73 is: 287.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.86 : 518.63 = 191.73 : x
  2. Step 2: Convert to fraction form
    345.86/518.63 = 191.73/x
  3. Step 3: Cross multiply
    345.86x = 518.63 × 191.73
  4. Step 4: Simplify right side
    345.86x = 99,435.97
  5. Step 5: Solve for x
    x = 99,435.97/345.86
  6. Step 6: Final answer
    x = 287.51

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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.