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Finding the Fourth Proportional to 247.59, 370.44 and 182.16

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Solution

The fourth proportional to 247.59, 370.44 and 182.16 is: 272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.59 : 370.44 = 182.16 : x
  2. Step 2: Convert to fraction form
    247.59/370.44 = 182.16/x
  3. Step 3: Cross multiply
    247.59x = 370.44 × 182.16
  4. Step 4: Simplify right side
    247.59x = 67,479.35
  5. Step 5: Solve for x
    x = 67,479.35/247.59
  6. Step 6: Final answer
    x = 272.54

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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.