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Finding the Fourth Proportional to 259.44, 389.76 and 182.88

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Solution

The fourth proportional to 259.44, 389.76 and 182.88 is: 274.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.44 : 389.76 = 182.88 : x
  2. Step 2: Convert to fraction form
    259.44/389.76 = 182.88/x
  3. Step 3: Cross multiply
    259.44x = 389.76 × 182.88
  4. Step 4: Simplify right side
    259.44x = 71,279.31
  5. Step 5: Solve for x
    x = 71,279.31/259.44
  6. Step 6: Final answer
    x = 274.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.