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Finding the Fourth Proportional to 253.62, 350.04 and 165.09

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Solution

The fourth proportional to 253.62, 350.04 and 165.09 is: 227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.62 : 350.04 = 165.09 : x
  2. Step 2: Convert to fraction form
    253.62/350.04 = 165.09/x
  3. Step 3: Cross multiply
    253.62x = 350.04 × 165.09
  4. Step 4: Simplify right side
    253.62x = 57,788.10
  5. Step 5: Solve for x
    x = 57,788.10/253.62
  6. Step 6: Final answer
    x = 227.85

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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.