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Finding the Fourth Proportional to 231.16, 346.02 and 149.80

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Solution

The fourth proportional to 231.16, 346.02 and 149.80 is: 224.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.16 : 346.02 = 149.80 : x
  2. Step 2: Convert to fraction form
    231.16/346.02 = 149.80/x
  3. Step 3: Cross multiply
    231.16x = 346.02 × 149.80
  4. Step 4: Simplify right side
    231.16x = 51,833.80
  5. Step 5: Solve for x
    x = 51,833.80/231.16
  6. Step 6: Final answer
    x = 224.23

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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.