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Finding the Fourth Proportional to 402.19, 603.41 and 182.88

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Solution

The fourth proportional to 402.19, 603.41 and 182.88 is: 274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.19 : 603.41 = 182.88 : x
  2. Step 2: Convert to fraction form
    402.19/603.41 = 182.88/x
  3. Step 3: Cross multiply
    402.19x = 603.41 × 182.88
  4. Step 4: Simplify right side
    402.19x = 110,351.62
  5. Step 5: Solve for x
    x = 110,351.62/402.19
  6. Step 6: Final answer
    x = 274.38

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