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Finding the Fourth Proportional to 338.27, 507.43 and 165.08

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Solution

The fourth proportional to 338.27, 507.43 and 165.08 is: 247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.27 : 507.43 = 165.08 : x
  2. Step 2: Convert to fraction form
    338.27/507.43 = 165.08/x
  3. Step 3: Cross multiply
    338.27x = 507.43 × 165.08
  4. Step 4: Simplify right side
    338.27x = 83,767.40
  5. Step 5: Solve for x
    x = 83,767.40/338.27
  6. Step 6: Final answer
    x = 247.64

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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.