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Finding the Fourth Proportional to 310, 465 and 82

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Solution

The fourth proportional to 310, 465 and 82 is: 123

Step by Step Solution

  1. Step 1: Write the proportion equation
    310 : 465 = 82 : x
  2. Step 2: Convert to fraction form
    310/465 = 82/x
  3. Step 3: Cross multiply
    310x = 465 × 82
  4. Step 4: Simplify right side
    310x = 38,130
  5. Step 5: Solve for x
    x = 38,130/310
  6. Step 6: Final answer
    x = 123

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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.