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Finding the Fourth Proportional to 338.72, 507.99 and 165.30

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Solution

The fourth proportional to 338.72, 507.99 and 165.30 is: 247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.72 : 507.99 = 165.30 : x
  2. Step 2: Convert to fraction form
    338.72/507.99 = 165.30/x
  3. Step 3: Cross multiply
    338.72x = 507.99 × 165.30
  4. Step 4: Simplify right side
    338.72x = 83,970.75
  5. Step 5: Solve for x
    x = 83,970.75/338.72
  6. Step 6: Final answer
    x = 247.91

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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.