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Finding the Fourth Proportional to 272.70, 409 and 135.70

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Solution

The fourth proportional to 272.70, 409 and 135.70 is: 203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.70 : 409 = 135.70 : x
  2. Step 2: Convert to fraction form
    272.70/409 = 135.70/x
  3. Step 3: Cross multiply
    272.70x = 409 × 135.70
  4. Step 4: Simplify right side
    272.70x = 55,501.30
  5. Step 5: Solve for x
    x = 55,501.30/272.70
  6. Step 6: Final answer
    x = 203.53

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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.