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Finding the Fourth Proportional to 247.56, 341.28 and 189.24

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Solution

The fourth proportional to 247.56, 341.28 and 189.24 is: 260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.56 : 341.28 = 189.24 : x
  2. Step 2: Convert to fraction form
    247.56/341.28 = 189.24/x
  3. Step 3: Cross multiply
    247.56x = 341.28 × 189.24
  4. Step 4: Simplify right side
    247.56x = 64,583.83
  5. Step 5: Solve for x
    x = 64,583.83/247.56
  6. Step 6: Final answer
    x = 260.88

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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.