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Finding the Fourth Proportional to 310.14, 465.21 and 82.14

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Solution

The fourth proportional to 310.14, 465.21 and 82.14 is: 123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.14 : 465.21 = 82.14 : x
  2. Step 2: Convert to fraction form
    310.14/465.21 = 82.14/x
  3. Step 3: Cross multiply
    310.14x = 465.21 × 82.14
  4. Step 4: Simplify right side
    310.14x = 38,212.35
  5. Step 5: Solve for x
    x = 38,212.35/310.14
  6. Step 6: Final answer
    x = 123.21

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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.