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Finding the Fourth Proportional to 310.38, 465.27 and 164.10

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Solution

The fourth proportional to 310.38, 465.27 and 164.10 is: 245.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.38 : 465.27 = 164.10 : x
  2. Step 2: Convert to fraction form
    310.38/465.27 = 164.10/x
  3. Step 3: Cross multiply
    310.38x = 465.27 × 164.10
  4. Step 4: Simplify right side
    310.38x = 76,350.81
  5. Step 5: Solve for x
    x = 76,350.81/310.38
  6. Step 6: Final answer
    x = 245.99

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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.