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Finding the Fourth Proportional to 342.75, 514.14 and 205.93

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Solution

The fourth proportional to 342.75, 514.14 and 205.93 is: 308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.75 : 514.14 = 205.93 : x
  2. Step 2: Convert to fraction form
    342.75/514.14 = 205.93/x
  3. Step 3: Cross multiply
    342.75x = 514.14 × 205.93
  4. Step 4: Simplify right side
    342.75x = 105,876.85
  5. Step 5: Solve for x
    x = 105,876.85/342.75
  6. Step 6: Final answer
    x = 308.90

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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.