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Finding the Fourth Proportional to 272.58, 408.87 and 99.37

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Solution

The fourth proportional to 272.58, 408.87 and 99.37 is: 149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.58 : 408.87 = 99.37 : x
  2. Step 2: Convert to fraction form
    272.58/408.87 = 99.37/x
  3. Step 3: Cross multiply
    272.58x = 408.87 × 99.37
  4. Step 4: Simplify right side
    272.58x = 40,628.39
  5. Step 5: Solve for x
    x = 40,628.39/272.58
  6. Step 6: Final answer
    x = 149.05

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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.