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Finding the Fourth Proportional to 338.66, 507.98 and 82.16

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Solution

The fourth proportional to 338.66, 507.98 and 82.16 is: 123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.66 : 507.98 = 82.16 : x
  2. Step 2: Convert to fraction form
    338.66/507.98 = 82.16/x
  3. Step 3: Cross multiply
    338.66x = 507.98 × 82.16
  4. Step 4: Simplify right side
    338.66x = 41,732.69
  5. Step 5: Solve for x
    x = 41,732.69/338.66
  6. Step 6: Final answer
    x = 123.23

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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.