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Finding the Fourth Proportional to 357.11, 536.56 and 227.17

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Solution

The fourth proportional to 357.11, 536.56 and 227.17 is: 341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.11 : 536.56 = 227.17 : x
  2. Step 2: Convert to fraction form
    357.11/536.56 = 227.17/x
  3. Step 3: Cross multiply
    357.11x = 536.56 × 227.17
  4. Step 4: Simplify right side
    357.11x = 121,889.13
  5. Step 5: Solve for x
    x = 121,889.13/357.11
  6. Step 6: Final answer
    x = 341.32

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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.