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Finding the Fourth Proportional to 338.42, 507.72 and 165.22

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Solution

The fourth proportional to 338.42, 507.72 and 165.22 is: 247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.42 : 507.72 = 165.22 : x
  2. Step 2: Convert to fraction form
    338.42/507.72 = 165.22/x
  3. Step 3: Cross multiply
    338.42x = 507.72 × 165.22
  4. Step 4: Simplify right side
    338.42x = 83,885.50
  5. Step 5: Solve for x
    x = 83,885.50/338.42
  6. Step 6: Final answer
    x = 247.87

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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.