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Finding the Fourth Proportional to 296.89, 445.29 and 189.43

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Solution

The fourth proportional to 296.89, 445.29 and 189.43 is: 284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.89 : 445.29 = 189.43 : x
  2. Step 2: Convert to fraction form
    296.89/445.29 = 189.43/x
  3. Step 3: Cross multiply
    296.89x = 445.29 × 189.43
  4. Step 4: Simplify right side
    296.89x = 84,351.28
  5. Step 5: Solve for x
    x = 84,351.28/296.89
  6. Step 6: Final answer
    x = 284.12

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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.