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Finding the Fourth Proportional to 247.28, 340.80 and 189.20

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Solution

The fourth proportional to 247.28, 340.80 and 189.20 is: 260.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.28 : 340.80 = 189.20 : x
  2. Step 2: Convert to fraction form
    247.28/340.80 = 189.20/x
  3. Step 3: Cross multiply
    247.28x = 340.80 × 189.20
  4. Step 4: Simplify right side
    247.28x = 64,479.36
  5. Step 5: Solve for x
    x = 64,479.36/247.28
  6. Step 6: Final answer
    x = 260.75

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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.