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Finding the Fourth Proportional to 228.92, 342.72 and 167.28

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Solution

The fourth proportional to 228.92, 342.72 and 167.28 is: 250.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.92 : 342.72 = 167.28 : x
  2. Step 2: Convert to fraction form
    228.92/342.72 = 167.28/x
  3. Step 3: Cross multiply
    228.92x = 342.72 × 167.28
  4. Step 4: Simplify right side
    228.92x = 57,330.20
  5. Step 5: Solve for x
    x = 57,330.20/228.92
  6. Step 6: Final answer
    x = 250.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.