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Finding the Fourth Proportional to 306.78, 423.32 and 182.42

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Solution

The fourth proportional to 306.78, 423.32 and 182.42 is: 251.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.78 : 423.32 = 182.42 : x
  2. Step 2: Convert to fraction form
    306.78/423.32 = 182.42/x
  3. Step 3: Cross multiply
    306.78x = 423.32 × 182.42
  4. Step 4: Simplify right side
    306.78x = 77,222.03
  5. Step 5: Solve for x
    x = 77,222.03/306.78
  6. Step 6: Final answer
    x = 251.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.