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Finding the Fourth Proportional to 272.90, 409.40 and 118.82

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Solution

The fourth proportional to 272.90, 409.40 and 118.82 is: 178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.90 : 409.40 = 118.82 : x
  2. Step 2: Convert to fraction form
    272.90/409.40 = 118.82/x
  3. Step 3: Cross multiply
    272.90x = 409.40 × 118.82
  4. Step 4: Simplify right side
    272.90x = 48,642.27
  5. Step 5: Solve for x
    x = 48,642.27/272.90
  6. Step 6: Final answer
    x = 178.25

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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.