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Finding the Fourth Proportional to 223.66, 333.59 and 182.89

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Solution

The fourth proportional to 223.66, 333.59 and 182.89 is: 272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.66 : 333.59 = 182.89 : x
  2. Step 2: Convert to fraction form
    223.66/333.59 = 182.89/x
  3. Step 3: Cross multiply
    223.66x = 333.59 × 182.89
  4. Step 4: Simplify right side
    223.66x = 61,010.28
  5. Step 5: Solve for x
    x = 61,010.28/223.66
  6. Step 6: Final answer
    x = 272.78

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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.