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Finding the Fourth Proportional to 224.51, 334.67 and 183.20

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Solution

The fourth proportional to 224.51, 334.67 and 183.20 is: 273.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.51 : 334.67 = 183.20 : x
  2. Step 2: Convert to fraction form
    224.51/334.67 = 183.20/x
  3. Step 3: Cross multiply
    224.51x = 334.67 × 183.20
  4. Step 4: Simplify right side
    224.51x = 61,308.95
  5. Step 5: Solve for x
    x = 61,308.95/224.51
  6. Step 6: Final answer
    x = 273.09

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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.