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Finding the Fourth Proportional to 310.14, 465.46 and 164.06

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Solution

The fourth proportional to 310.14, 465.46 and 164.06 is: 246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.14 : 465.46 = 164.06 : x
  2. Step 2: Convert to fraction form
    310.14/465.46 = 164.06/x
  3. Step 3: Cross multiply
    310.14x = 465.46 × 164.06
  4. Step 4: Simplify right side
    310.14x = 76,360.63
  5. Step 5: Solve for x
    x = 76,360.63/310.14
  6. Step 6: Final answer
    x = 246.21

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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.