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Finding the Fourth Proportional to 228.23, 315.19 and 163.08

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Solution

The fourth proportional to 228.23, 315.19 and 163.08 is: 225.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.23 : 315.19 = 163.08 : x
  2. Step 2: Convert to fraction form
    228.23/315.19 = 163.08/x
  3. Step 3: Cross multiply
    228.23x = 315.19 × 163.08
  4. Step 4: Simplify right side
    228.23x = 51,401.39
  5. Step 5: Solve for x
    x = 51,401.39/228.23
  6. Step 6: Final answer
    x = 225.21

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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.