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Finding the Fourth Proportional to 310.90, 465.43 and 230.11

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Solution

The fourth proportional to 310.90, 465.43 and 230.11 is: 344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.90 : 465.43 = 230.11 : x
  2. Step 2: Convert to fraction form
    310.90/465.43 = 230.11/x
  3. Step 3: Cross multiply
    310.90x = 465.43 × 230.11
  4. Step 4: Simplify right side
    310.90x = 107,100.10
  5. Step 5: Solve for x
    x = 107,100.10/310.90
  6. Step 6: Final answer
    x = 344.48

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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.