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Finding the Fourth Proportional to 228.20, 341.78 and 141.57

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Solution

The fourth proportional to 228.20, 341.78 and 141.57 is: 212.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.20 : 341.78 = 141.57 : x
  2. Step 2: Convert to fraction form
    228.20/341.78 = 141.57/x
  3. Step 3: Cross multiply
    228.20x = 341.78 × 141.57
  4. Step 4: Simplify right side
    228.20x = 48,385.09
  5. Step 5: Solve for x
    x = 48,385.09/228.20
  6. Step 6: Final answer
    x = 212.03

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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.