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Finding the Fourth Proportional to 345.62, 518.07 and 199.19

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Solution

The fourth proportional to 345.62, 518.07 and 199.19 is: 298.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.62 : 518.07 = 199.19 : x
  2. Step 2: Convert to fraction form
    345.62/518.07 = 199.19/x
  3. Step 3: Cross multiply
    345.62x = 518.07 × 199.19
  4. Step 4: Simplify right side
    345.62x = 103,191.77
  5. Step 5: Solve for x
    x = 103,191.77/345.62
  6. Step 6: Final answer
    x = 298.57

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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.