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Finding the Fourth Proportional to 230.56, 318.16 and 165.17

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Solution

The fourth proportional to 230.56, 318.16 and 165.17 is: 227.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.56 : 318.16 = 165.17 : x
  2. Step 2: Convert to fraction form
    230.56/318.16 = 165.17/x
  3. Step 3: Cross multiply
    230.56x = 318.16 × 165.17
  4. Step 4: Simplify right side
    230.56x = 52,551.49
  5. Step 5: Solve for x
    x = 52,551.49/230.56
  6. Step 6: Final answer
    x = 227.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.