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Finding the Fourth Proportional to 264.69, 398.82 and 220.02

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Solution

The fourth proportional to 264.69, 398.82 and 220.02 is: 331.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.69 : 398.82 = 220.02 : x
  2. Step 2: Convert to fraction form
    264.69/398.82 = 220.02/x
  3. Step 3: Cross multiply
    264.69x = 398.82 × 220.02
  4. Step 4: Simplify right side
    264.69x = 87,748.38
  5. Step 5: Solve for x
    x = 87,748.38/264.69
  6. Step 6: Final answer
    x = 331.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.