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Finding the Fourth Proportional to 224.01, 334.58 and 182.97

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Solution

The fourth proportional to 224.01, 334.58 and 182.97 is: 273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.01 : 334.58 = 182.97 : x
  2. Step 2: Convert to fraction form
    224.01/334.58 = 182.97/x
  3. Step 3: Cross multiply
    224.01x = 334.58 × 182.97
  4. Step 4: Simplify right side
    224.01x = 61,217.19
  5. Step 5: Solve for x
    x = 61,217.19/224.01
  6. Step 6: Final answer
    x = 273.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.