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Finding the Fourth Proportional to 264.98, 395.66 and 224.42

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Solution

The fourth proportional to 264.98, 395.66 and 224.42 is: 335.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.98 : 395.66 = 224.42 : x
  2. Step 2: Convert to fraction form
    264.98/395.66 = 224.42/x
  3. Step 3: Cross multiply
    264.98x = 395.66 × 224.42
  4. Step 4: Simplify right side
    264.98x = 88,794.02
  5. Step 5: Solve for x
    x = 88,794.02/264.98
  6. Step 6: Final answer
    x = 335.10

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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.