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Finding the Fourth Proportional to 243.67, 364.83 and 178.24

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Solution

The fourth proportional to 243.67, 364.83 and 178.24 is: 266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.67 : 364.83 = 178.24 : x
  2. Step 2: Convert to fraction form
    243.67/364.83 = 178.24/x
  3. Step 3: Cross multiply
    243.67x = 364.83 × 178.24
  4. Step 4: Simplify right side
    243.67x = 65,027.30
  5. Step 5: Solve for x
    x = 65,027.30/243.67
  6. Step 6: Final answer
    x = 266.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.