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Finding the Fourth Proportional to 330.60, 456.23 and 183.23

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Solution

The fourth proportional to 330.60, 456.23 and 183.23 is: 252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.60 : 456.23 = 183.23 : x
  2. Step 2: Convert to fraction form
    330.60/456.23 = 183.23/x
  3. Step 3: Cross multiply
    330.60x = 456.23 × 183.23
  4. Step 4: Simplify right side
    330.60x = 83,594.91
  5. Step 5: Solve for x
    x = 83,594.91/330.60
  6. Step 6: Final answer
    x = 252.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.