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Finding the Fourth Proportional to 338.18, 507.27 and 132.75

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Solution

The fourth proportional to 338.18, 507.27 and 132.75 is: 199.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.18 : 507.27 = 132.75 : x
  2. Step 2: Convert to fraction form
    338.18/507.27 = 132.75/x
  3. Step 3: Cross multiply
    338.18x = 507.27 × 132.75
  4. Step 4: Simplify right side
    338.18x = 67,340.24
  5. Step 5: Solve for x
    x = 67,340.24/338.18
  6. Step 6: Final answer
    x = 199.12

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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.