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Finding the Fourth Proportional to 228.90, 343.35 and 137.55

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Solution

The fourth proportional to 228.90, 343.35 and 137.55 is: 206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.90 : 343.35 = 137.55 : x
  2. Step 2: Convert to fraction form
    228.90/343.35 = 137.55/x
  3. Step 3: Cross multiply
    228.90x = 343.35 × 137.55
  4. Step 4: Simplify right side
    228.90x = 47,227.79
  5. Step 5: Solve for x
    x = 47,227.79/228.90
  6. Step 6: Final answer
    x = 206.33

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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.