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Finding the Fourth Proportional to 264.48, 394.92 and 223.86

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Solution

The fourth proportional to 264.48, 394.92 and 223.86 is: 334.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.48 : 394.92 = 223.86 : x
  2. Step 2: Convert to fraction form
    264.48/394.92 = 223.86/x
  3. Step 3: Cross multiply
    264.48x = 394.92 × 223.86
  4. Step 4: Simplify right side
    264.48x = 88,406.79
  5. Step 5: Solve for x
    x = 88,406.79/264.48
  6. Step 6: Final answer
    x = 334.27

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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.