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Finding the Fourth Proportional to 342.76, 514.27 and 205.91

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Solution

The fourth proportional to 342.76, 514.27 and 205.91 is: 308.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.76 : 514.27 = 205.91 : x
  2. Step 2: Convert to fraction form
    342.76/514.27 = 205.91/x
  3. Step 3: Cross multiply
    342.76x = 514.27 × 205.91
  4. Step 4: Simplify right side
    342.76x = 105,893.34
  5. Step 5: Solve for x
    x = 105,893.34/342.76
  6. Step 6: Final answer
    x = 308.94

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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.