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Finding the Fourth Proportional to 341.69, 513.05 and 205.35

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Solution

The fourth proportional to 341.69, 513.05 and 205.35 is: 308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.69 : 513.05 = 205.35 : x
  2. Step 2: Convert to fraction form
    341.69/513.05 = 205.35/x
  3. Step 3: Cross multiply
    341.69x = 513.05 × 205.35
  4. Step 4: Simplify right side
    341.69x = 105,354.82
  5. Step 5: Solve for x
    x = 105,354.82/341.69
  6. Step 6: Final answer
    x = 308.33

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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.