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Finding the Fourth Proportional to 311.49, 468.08 and 230.07

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Solution

The fourth proportional to 311.49, 468.08 and 230.07 is: 345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.49 : 468.08 = 230.07 : x
  2. Step 2: Convert to fraction form
    311.49/468.08 = 230.07/x
  3. Step 3: Cross multiply
    311.49x = 468.08 × 230.07
  4. Step 4: Simplify right side
    311.49x = 107,691.17
  5. Step 5: Solve for x
    x = 107,691.17/311.49
  6. Step 6: Final answer
    x = 345.73

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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.