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Finding the Fourth Proportional to 264.24, 394.20 and 223.92

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Solution

The fourth proportional to 264.24, 394.20 and 223.92 is: 334.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.24 : 394.20 = 223.92 : x
  2. Step 2: Convert to fraction form
    264.24/394.20 = 223.92/x
  3. Step 3: Cross multiply
    264.24x = 394.20 × 223.92
  4. Step 4: Simplify right side
    264.24x = 88,269.26
  5. Step 5: Solve for x
    x = 88,269.26/264.24
  6. Step 6: Final answer
    x = 334.05

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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.