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Finding the Fourth Proportional to 264.57, 396.23 and 225.83

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Solution

The fourth proportional to 264.57, 396.23 and 225.83 is: 338.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.57 : 396.23 = 225.83 : x
  2. Step 2: Convert to fraction form
    264.57/396.23 = 225.83/x
  3. Step 3: Cross multiply
    264.57x = 396.23 × 225.83
  4. Step 4: Simplify right side
    264.57x = 89,477.51
  5. Step 5: Solve for x
    x = 89,477.51/264.57
  6. Step 6: Final answer
    x = 338.20

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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.