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Finding the Fourth Proportional to 228.92, 343.20 and 180.68

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Solution

The fourth proportional to 228.92, 343.20 and 180.68 is: 270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.92 : 343.20 = 180.68 : x
  2. Step 2: Convert to fraction form
    228.92/343.20 = 180.68/x
  3. Step 3: Cross multiply
    228.92x = 343.20 × 180.68
  4. Step 4: Simplify right side
    228.92x = 62,009.38
  5. Step 5: Solve for x
    x = 62,009.38/228.92
  6. Step 6: Final answer
    x = 270.88

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Why These Related Problems?

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