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Finding the Fourth Proportional to 330.59, 456.21 and 183.22

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Solution

The fourth proportional to 330.59, 456.21 and 183.22 is: 252.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.59 : 456.21 = 183.22 : x
  2. Step 2: Convert to fraction form
    330.59/456.21 = 183.22/x
  3. Step 3: Cross multiply
    330.59x = 456.21 × 183.22
  4. Step 4: Simplify right side
    330.59x = 83,586.80
  5. Step 5: Solve for x
    x = 83,586.80/330.59
  6. Step 6: Final answer
    x = 252.84

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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.