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Finding the Fourth Proportional to 302.92, 418.16 and 192.40

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Solution

The fourth proportional to 302.92, 418.16 and 192.40 is: 265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.92 : 418.16 = 192.40 : x
  2. Step 2: Convert to fraction form
    302.92/418.16 = 192.40/x
  3. Step 3: Cross multiply
    302.92x = 418.16 × 192.40
  4. Step 4: Simplify right side
    302.92x = 80,453.98
  5. Step 5: Solve for x
    x = 80,453.98/302.92
  6. Step 6: Final answer
    x = 265.59

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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.