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Finding the Fourth Proportional to 228.72, 343.02 and 84.42

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Solution

The fourth proportional to 228.72, 343.02 and 84.42 is: 126.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.72 : 343.02 = 84.42 : x
  2. Step 2: Convert to fraction form
    228.72/343.02 = 84.42/x
  3. Step 3: Cross multiply
    228.72x = 343.02 × 84.42
  4. Step 4: Simplify right side
    228.72x = 28,957.75
  5. Step 5: Solve for x
    x = 28,957.75/228.72
  6. Step 6: Final answer
    x = 126.61

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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.