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Finding the Fourth Proportional to 228.76, 315.84 and 163.15

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Solution

The fourth proportional to 228.76, 315.84 and 163.15 is: 225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.76 : 315.84 = 163.15 : x
  2. Step 2: Convert to fraction form
    228.76/315.84 = 163.15/x
  3. Step 3: Cross multiply
    228.76x = 315.84 × 163.15
  4. Step 4: Simplify right side
    228.76x = 51,529.30
  5. Step 5: Solve for x
    x = 51,529.30/228.76
  6. Step 6: Final answer
    x = 225.25

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Why These Related Problems?

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