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Finding the Fourth Proportional to 338.14, 507.24 and 106.96

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Solution

The fourth proportional to 338.14, 507.24 and 106.96 is: 160.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.14 : 507.24 = 106.96 : x
  2. Step 2: Convert to fraction form
    338.14/507.24 = 106.96/x
  3. Step 3: Cross multiply
    338.14x = 507.24 × 106.96
  4. Step 4: Simplify right side
    338.14x = 54,254.39
  5. Step 5: Solve for x
    x = 54,254.39/338.14
  6. Step 6: Final answer
    x = 160.45

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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.