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Finding the Fourth Proportional to 306.45, 423.01 and 182.15

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Solution

The fourth proportional to 306.45, 423.01 and 182.15 is: 251.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.45 : 423.01 = 182.15 : x
  2. Step 2: Convert to fraction form
    306.45/423.01 = 182.15/x
  3. Step 3: Cross multiply
    306.45x = 423.01 × 182.15
  4. Step 4: Simplify right side
    306.45x = 77,051.27
  5. Step 5: Solve for x
    x = 77,051.27/306.45
  6. Step 6: Final answer
    x = 251.43

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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.