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Finding the Fourth Proportional to 227.82, 341.59 and 90.82

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Solution

The fourth proportional to 227.82, 341.59 and 90.82 is: 136.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.82 : 341.59 = 90.82 : x
  2. Step 2: Convert to fraction form
    227.82/341.59 = 90.82/x
  3. Step 3: Cross multiply
    227.82x = 341.59 × 90.82
  4. Step 4: Simplify right side
    227.82x = 31,023.20
  5. Step 5: Solve for x
    x = 31,023.20/227.82
  6. Step 6: Final answer
    x = 136.17

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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.