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Finding the Fourth Proportional to 296.23, 443.98 and 122.83

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Solution

The fourth proportional to 296.23, 443.98 and 122.83 is: 184.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.23 : 443.98 = 122.83 : x
  2. Step 2: Convert to fraction form
    296.23/443.98 = 122.83/x
  3. Step 3: Cross multiply
    296.23x = 443.98 × 122.83
  4. Step 4: Simplify right side
    296.23x = 54,534.06
  5. Step 5: Solve for x
    x = 54,534.06/296.23
  6. Step 6: Final answer
    x = 184.09

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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.