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Finding the Fourth Proportional to 272.08, 408.24 and 118.10

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Solution

The fourth proportional to 272.08, 408.24 and 118.10 is: 177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.08 : 408.24 = 118.10 : x
  2. Step 2: Convert to fraction form
    272.08/408.24 = 118.10/x
  3. Step 3: Cross multiply
    272.08x = 408.24 × 118.10
  4. Step 4: Simplify right side
    272.08x = 48,213.02
  5. Step 5: Solve for x
    x = 48,213.02/272.08
  6. Step 6: Final answer
    x = 177.20

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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.