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Finding the Fourth Proportional to 342.81, 513.41 and 205.65

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Solution

The fourth proportional to 342.81, 513.41 and 205.65 is: 307.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.81 : 513.41 = 205.65 : x
  2. Step 2: Convert to fraction form
    342.81/513.41 = 205.65/x
  3. Step 3: Cross multiply
    342.81x = 513.41 × 205.65
  4. Step 4: Simplify right side
    342.81x = 105,581.74
  5. Step 5: Solve for x
    x = 105,581.74/342.81
  6. Step 6: Final answer
    x = 307.99

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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.