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Finding the Fourth Proportional to 228.56, 315.12 and 170.24

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Solution

The fourth proportional to 228.56, 315.12 and 170.24 is: 234.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.56 : 315.12 = 170.24 : x
  2. Step 2: Convert to fraction form
    228.56/315.12 = 170.24/x
  3. Step 3: Cross multiply
    228.56x = 315.12 × 170.24
  4. Step 4: Simplify right side
    228.56x = 53,646.03
  5. Step 5: Solve for x
    x = 53,646.03/228.56
  6. Step 6: Final answer
    x = 234.71

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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.