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Finding the Fourth Proportional to 338.94, 508.41 and 156.24

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Solution

The fourth proportional to 338.94, 508.41 and 156.24 is: 234.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.94 : 508.41 = 156.24 : x
  2. Step 2: Convert to fraction form
    338.94/508.41 = 156.24/x
  3. Step 3: Cross multiply
    338.94x = 508.41 × 156.24
  4. Step 4: Simplify right side
    338.94x = 79,433.98
  5. Step 5: Solve for x
    x = 79,433.98/338.94
  6. Step 6: Final answer
    x = 234.36

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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.