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Finding the Fourth Proportional to 231.14, 346.23 and 122.87

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Solution

The fourth proportional to 231.14, 346.23 and 122.87 is: 184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.14 : 346.23 = 122.87 : x
  2. Step 2: Convert to fraction form
    231.14/346.23 = 122.87/x
  3. Step 3: Cross multiply
    231.14x = 346.23 × 122.87
  4. Step 4: Simplify right side
    231.14x = 42,539.55
  5. Step 5: Solve for x
    x = 42,539.55/231.14
  6. Step 6: Final answer
    x = 184.05

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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.