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Finding the Fourth Proportional to 224.09, 308.93 and 180.35

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Solution

The fourth proportional to 224.09, 308.93 and 180.35 is: 248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.09 : 308.93 = 180.35 : x
  2. Step 2: Convert to fraction form
    224.09/308.93 = 180.35/x
  3. Step 3: Cross multiply
    224.09x = 308.93 × 180.35
  4. Step 4: Simplify right side
    224.09x = 55,713.08
  5. Step 5: Solve for x
    x = 55,713.08/224.09
  6. Step 6: Final answer
    x = 248.62

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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.