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Finding the Fourth Proportional to 310.80, 465.93 and 164.22

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Solution

The fourth proportional to 310.80, 465.93 and 164.22 is: 246.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.80 : 465.93 = 164.22 : x
  2. Step 2: Convert to fraction form
    310.80/465.93 = 164.22/x
  3. Step 3: Cross multiply
    310.80x = 465.93 × 164.22
  4. Step 4: Simplify right side
    310.80x = 76,515.02
  5. Step 5: Solve for x
    x = 76,515.02/310.80
  6. Step 6: Final answer
    x = 246.19

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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.