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Finding the Fourth Proportional to 296.07, 443.84 and 122.63

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Solution

The fourth proportional to 296.07, 443.84 and 122.63 is: 183.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.07 : 443.84 = 122.63 : x
  2. Step 2: Convert to fraction form
    296.07/443.84 = 122.63/x
  3. Step 3: Cross multiply
    296.07x = 443.84 × 122.63
  4. Step 4: Simplify right side
    296.07x = 54,425.27
  5. Step 5: Solve for x
    x = 54,425.27/296.07
  6. Step 6: Final answer
    x = 183.83

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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.