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Finding the Fourth Proportional to 272.44, 408.57 and 156.86

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Solution

The fourth proportional to 272.44, 408.57 and 156.86 is: 235.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.44 : 408.57 = 156.86 : x
  2. Step 2: Convert to fraction form
    272.44/408.57 = 156.86/x
  3. Step 3: Cross multiply
    272.44x = 408.57 × 156.86
  4. Step 4: Simplify right side
    272.44x = 64,088.29
  5. Step 5: Solve for x
    x = 64,088.29/272.44
  6. Step 6: Final answer
    x = 235.24

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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.