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Finding the Fourth Proportional to 272.86, 409.16 and 90.23

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Solution

The fourth proportional to 272.86, 409.16 and 90.23 is: 135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.86 : 409.16 = 90.23 : x
  2. Step 2: Convert to fraction form
    272.86/409.16 = 90.23/x
  3. Step 3: Cross multiply
    272.86x = 409.16 × 90.23
  4. Step 4: Simplify right side
    272.86x = 36,916.01
  5. Step 5: Solve for x
    x = 36,916.01/272.86
  6. Step 6: Final answer
    x = 135.29

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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.