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Finding the Fourth Proportional to 272.27, 407.75 and 135.14

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Solution

The fourth proportional to 272.27, 407.75 and 135.14 is: 202.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.27 : 407.75 = 135.14 : x
  2. Step 2: Convert to fraction form
    272.27/407.75 = 135.14/x
  3. Step 3: Cross multiply
    272.27x = 407.75 × 135.14
  4. Step 4: Simplify right side
    272.27x = 55,100.62
  5. Step 5: Solve for x
    x = 55,100.62/272.27
  6. Step 6: Final answer
    x = 202.37

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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.