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Finding the Fourth Proportional to 264.88, 396.90 and 229.24

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Solution

The fourth proportional to 264.88, 396.90 and 229.24 is: 343.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.88 : 396.90 = 229.24 : x
  2. Step 2: Convert to fraction form
    264.88/396.90 = 229.24/x
  3. Step 3: Cross multiply
    264.88x = 396.90 × 229.24
  4. Step 4: Simplify right side
    264.88x = 90,985.36
  5. Step 5: Solve for x
    x = 90,985.36/264.88
  6. Step 6: Final answer
    x = 343.50

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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.