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Finding the Fourth Proportional to 264.88, 364.72 and 225.46

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Solution

The fourth proportional to 264.88, 364.72 and 225.46 is: 310.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.88 : 364.72 = 225.46 : x
  2. Step 2: Convert to fraction form
    264.88/364.72 = 225.46/x
  3. Step 3: Cross multiply
    264.88x = 364.72 × 225.46
  4. Step 4: Simplify right side
    264.88x = 82,229.77
  5. Step 5: Solve for x
    x = 82,229.77/264.88
  6. Step 6: Final answer
    x = 310.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.