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Finding the Fourth Proportional to 302.94, 418.06 and 164.94

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Solution

The fourth proportional to 302.94, 418.06 and 164.94 is: 227.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.94 : 418.06 = 164.94 : x
  2. Step 2: Convert to fraction form
    302.94/418.06 = 164.94/x
  3. Step 3: Cross multiply
    302.94x = 418.06 × 164.94
  4. Step 4: Simplify right side
    302.94x = 68,954.82
  5. Step 5: Solve for x
    x = 68,954.82/302.94
  6. Step 6: Final answer
    x = 227.62

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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.