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Finding the Fourth Proportional to 302.69, 417.91 and 196.54

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Solution

The fourth proportional to 302.69, 417.91 and 196.54 is: 271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.69 : 417.91 = 196.54 : x
  2. Step 2: Convert to fraction form
    302.69/417.91 = 196.54/x
  3. Step 3: Cross multiply
    302.69x = 417.91 × 196.54
  4. Step 4: Simplify right side
    302.69x = 82,136.03
  5. Step 5: Solve for x
    x = 82,136.03/302.69
  6. Step 6: Final answer
    x = 271.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.