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Finding the Fourth Proportional to 338.67, 507.75 and 133.06

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Solution

The fourth proportional to 338.67, 507.75 and 133.06 is: 199.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.67 : 507.75 = 133.06 : x
  2. Step 2: Convert to fraction form
    338.67/507.75 = 133.06/x
  3. Step 3: Cross multiply
    338.67x = 507.75 × 133.06
  4. Step 4: Simplify right side
    338.67x = 67,561.22
  5. Step 5: Solve for x
    x = 67,561.22/338.67
  6. Step 6: Final answer
    x = 199.49

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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.