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Finding the Fourth Proportional to 330.66, 455.94 and 225.72

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Solution

The fourth proportional to 330.66, 455.94 and 225.72 is: 311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.66 : 455.94 = 225.72 : x
  2. Step 2: Convert to fraction form
    330.66/455.94 = 225.72/x
  3. Step 3: Cross multiply
    330.66x = 455.94 × 225.72
  4. Step 4: Simplify right side
    330.66x = 102,914.78
  5. Step 5: Solve for x
    x = 102,914.78/330.66
  6. Step 6: Final answer
    x = 311.24

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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.