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Finding the Fourth Proportional to 265.02, 364.73 and 224.11

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Solution

The fourth proportional to 265.02, 364.73 and 224.11 is: 308.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.02 : 364.73 = 224.11 : x
  2. Step 2: Convert to fraction form
    265.02/364.73 = 224.11/x
  3. Step 3: Cross multiply
    265.02x = 364.73 × 224.11
  4. Step 4: Simplify right side
    265.02x = 81,739.64
  5. Step 5: Solve for x
    x = 81,739.64/265.02
  6. Step 6: Final answer
    x = 308.43

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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.