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Finding the Fourth Proportional to 342.24, 513.49 and 205.39

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Solution

The fourth proportional to 342.24, 513.49 and 205.39 is: 308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.24 : 513.49 = 205.39 : x
  2. Step 2: Convert to fraction form
    342.24/513.49 = 205.39/x
  3. Step 3: Cross multiply
    342.24x = 513.49 × 205.39
  4. Step 4: Simplify right side
    342.24x = 105,465.71
  5. Step 5: Solve for x
    x = 105,465.71/342.24
  6. Step 6: Final answer
    x = 308.16

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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.