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Finding the Fourth Proportional to 228.81, 343.06 and 131.38

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Solution

The fourth proportional to 228.81, 343.06 and 131.38 is: 196.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.81 : 343.06 = 131.38 : x
  2. Step 2: Convert to fraction form
    228.81/343.06 = 131.38/x
  3. Step 3: Cross multiply
    228.81x = 343.06 × 131.38
  4. Step 4: Simplify right side
    228.81x = 45,070.04
  5. Step 5: Solve for x
    x = 45,070.04/228.81
  6. Step 6: Final answer
    x = 196.98

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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.