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Finding the Fourth Proportional to 253.67, 349.92 and 180.09

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Solution

The fourth proportional to 253.67, 349.92 and 180.09 is: 248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.67 : 349.92 = 180.09 : x
  2. Step 2: Convert to fraction form
    253.67/349.92 = 180.09/x
  3. Step 3: Cross multiply
    253.67x = 349.92 × 180.09
  4. Step 4: Simplify right side
    253.67x = 63,017.09
  5. Step 5: Solve for x
    x = 63,017.09/253.67
  6. Step 6: Final answer
    x = 248.43

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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.