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Finding the Fourth Proportional to 242.26, 362.76 and 184.54

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Solution

The fourth proportional to 242.26, 362.76 and 184.54 is: 276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.26 : 362.76 = 184.54 : x
  2. Step 2: Convert to fraction form
    242.26/362.76 = 184.54/x
  3. Step 3: Cross multiply
    242.26x = 362.76 × 184.54
  4. Step 4: Simplify right side
    242.26x = 66,943.73
  5. Step 5: Solve for x
    x = 66,943.73/242.26
  6. Step 6: Final answer
    x = 276.33

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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.