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Finding the Fourth Proportional to 228.40, 343.12 and 137.28

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Solution

The fourth proportional to 228.40, 343.12 and 137.28 is: 206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.40 : 343.12 = 137.28 : x
  2. Step 2: Convert to fraction form
    228.40/343.12 = 137.28/x
  3. Step 3: Cross multiply
    228.40x = 343.12 × 137.28
  4. Step 4: Simplify right side
    228.40x = 47,103.51
  5. Step 5: Solve for x
    x = 47,103.51/228.40
  6. Step 6: Final answer
    x = 206.23

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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.