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Finding the Fourth Proportional to 272.90, 409.52 and 135.95

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Solution

The fourth proportional to 272.90, 409.52 and 135.95 is: 204.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.90 : 409.52 = 135.95 : x
  2. Step 2: Convert to fraction form
    272.90/409.52 = 135.95/x
  3. Step 3: Cross multiply
    272.90x = 409.52 × 135.95
  4. Step 4: Simplify right side
    272.90x = 55,672.54
  5. Step 5: Solve for x
    x = 55,672.54/272.90
  6. Step 6: Final answer
    x = 204.00

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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.