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Finding the Fourth Proportional to 338.58, 467.24 and 183.33

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Solution

The fourth proportional to 338.58, 467.24 and 183.33 is: 253.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.58 : 467.24 = 183.33 : x
  2. Step 2: Convert to fraction form
    338.58/467.24 = 183.33/x
  3. Step 3: Cross multiply
    338.58x = 467.24 × 183.33
  4. Step 4: Simplify right side
    338.58x = 85,659.57
  5. Step 5: Solve for x
    x = 85,659.57/338.58
  6. Step 6: Final answer
    x = 253.00

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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.