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Finding the Fourth Proportional to 229.12, 315.61 and 163.51

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Solution

The fourth proportional to 229.12, 315.61 and 163.51 is: 225.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.12 : 315.61 = 163.51 : x
  2. Step 2: Convert to fraction form
    229.12/315.61 = 163.51/x
  3. Step 3: Cross multiply
    229.12x = 315.61 × 163.51
  4. Step 4: Simplify right side
    229.12x = 51,603.81
  5. Step 5: Solve for x
    x = 51,603.81/229.12
  6. Step 6: Final answer
    x = 225.23

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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.