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Finding the Fourth Proportional to 296.08, 441.92 and 223.60

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Solution

The fourth proportional to 296.08, 441.92 and 223.60 is: 333.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.08 : 441.92 = 223.60 : x
  2. Step 2: Convert to fraction form
    296.08/441.92 = 223.60/x
  3. Step 3: Cross multiply
    296.08x = 441.92 × 223.60
  4. Step 4: Simplify right side
    296.08x = 98,813.31
  5. Step 5: Solve for x
    x = 98,813.31/296.08
  6. Step 6: Final answer
    x = 333.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.