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Finding the Fourth Proportional to 342.14, 513.20 and 205.22

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Solution

The fourth proportional to 342.14, 513.20 and 205.22 is: 307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.14 : 513.20 = 205.22 : x
  2. Step 2: Convert to fraction form
    342.14/513.20 = 205.22/x
  3. Step 3: Cross multiply
    342.14x = 513.20 × 205.22
  4. Step 4: Simplify right side
    342.14x = 105,318.90
  5. Step 5: Solve for x
    x = 105,318.90/342.14
  6. Step 6: Final answer
    x = 307.82

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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.