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Finding the Fourth Proportional to 272.48, 408.64 and 157.12

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Solution

The fourth proportional to 272.48, 408.64 and 157.12 is: 235.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.48 : 408.64 = 157.12 : x
  2. Step 2: Convert to fraction form
    272.48/408.64 = 157.12/x
  3. Step 3: Cross multiply
    272.48x = 408.64 × 157.12
  4. Step 4: Simplify right side
    272.48x = 64,205.52
  5. Step 5: Solve for x
    x = 64,205.52/272.48
  6. Step 6: Final answer
    x = 235.63

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Why These Related Problems?

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