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Finding the Fourth Proportional to 338.77, 507.84 and 165.43

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Solution

The fourth proportional to 338.77, 507.84 and 165.43 is: 247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.77 : 507.84 = 165.43 : x
  2. Step 2: Convert to fraction form
    338.77/507.84 = 165.43/x
  3. Step 3: Cross multiply
    338.77x = 507.84 × 165.43
  4. Step 4: Simplify right side
    338.77x = 84,011.97
  5. Step 5: Solve for x
    x = 84,011.97/338.77
  6. Step 6: Final answer
    x = 247.99

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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.