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Finding the Fourth Proportional to 330.64, 456.25 and 183.24

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Solution

The fourth proportional to 330.64, 456.25 and 183.24 is: 252.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.64 : 456.25 = 183.24 : x
  2. Step 2: Convert to fraction form
    330.64/456.25 = 183.24/x
  3. Step 3: Cross multiply
    330.64x = 456.25 × 183.24
  4. Step 4: Simplify right side
    330.64x = 83,603.25
  5. Step 5: Solve for x
    x = 83,603.25/330.64
  6. Step 6: Final answer
    x = 252.85

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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.