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Finding the Fourth Proportional to 296.55, 443.91 and 238.23

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Solution

The fourth proportional to 296.55, 443.91 and 238.23 is: 356.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.55 : 443.91 = 238.23 : x
  2. Step 2: Convert to fraction form
    296.55/443.91 = 238.23/x
  3. Step 3: Cross multiply
    296.55x = 443.91 × 238.23
  4. Step 4: Simplify right side
    296.55x = 105,752.68
  5. Step 5: Solve for x
    x = 105,752.68/296.55
  6. Step 6: Final answer
    x = 356.61

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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.