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Finding the Fourth Proportional to 231.95, 346.11 and 230.60

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Solution

The fourth proportional to 231.95, 346.11 and 230.60 is: 344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.95 : 346.11 = 230.60 : x
  2. Step 2: Convert to fraction form
    231.95/346.11 = 230.60/x
  3. Step 3: Cross multiply
    231.95x = 346.11 × 230.60
  4. Step 4: Simplify right side
    231.95x = 79,812.97
  5. Step 5: Solve for x
    x = 79,812.97/231.95
  6. Step 6: Final answer
    x = 344.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.