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Finding the Fourth Proportional to 330.66, 455.83 and 224.29

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Solution

The fourth proportional to 330.66, 455.83 and 224.29 is: 309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.66 : 455.83 = 224.29 : x
  2. Step 2: Convert to fraction form
    330.66/455.83 = 224.29/x
  3. Step 3: Cross multiply
    330.66x = 455.83 × 224.29
  4. Step 4: Simplify right side
    330.66x = 102,238.11
  5. Step 5: Solve for x
    x = 102,238.11/330.66
  6. Step 6: Final answer
    x = 309.19

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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.