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Finding the Fourth Proportional to 265.98, 366.83 and 224.63

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Solution

The fourth proportional to 265.98, 366.83 and 224.63 is: 309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.98 : 366.83 = 224.63 : x
  2. Step 2: Convert to fraction form
    265.98/366.83 = 224.63/x
  3. Step 3: Cross multiply
    265.98x = 366.83 × 224.63
  4. Step 4: Simplify right side
    265.98x = 82,398.07
  5. Step 5: Solve for x
    x = 82,398.07/265.98
  6. Step 6: Final answer
    x = 309.79

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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.