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Finding the Fourth Proportional to 338.47, 507.69 and 107.37

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Solution

The fourth proportional to 338.47, 507.69 and 107.37 is: 161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.47 : 507.69 = 107.37 : x
  2. Step 2: Convert to fraction form
    338.47/507.69 = 107.37/x
  3. Step 3: Cross multiply
    338.47x = 507.69 × 107.37
  4. Step 4: Simplify right side
    338.47x = 54,510.68
  5. Step 5: Solve for x
    x = 54,510.68/338.47
  6. Step 6: Final answer
    x = 161.05

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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.