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Finding the Fourth Proportional to 338.56, 507.62 and 165.22

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Solution

The fourth proportional to 338.56, 507.62 and 165.22 is: 247.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.56 : 507.62 = 165.22 : x
  2. Step 2: Convert to fraction form
    338.56/507.62 = 165.22/x
  3. Step 3: Cross multiply
    338.56x = 507.62 × 165.22
  4. Step 4: Simplify right side
    338.56x = 83,868.12
  5. Step 5: Solve for x
    x = 83,868.12/338.56
  6. Step 6: Final answer
    x = 247.72

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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.