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Finding the Fourth Proportional to 338.04, 506.44 and 175.90

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Solution

The fourth proportional to 338.04, 506.44 and 175.90 is: 263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.04 : 506.44 = 175.90 : x
  2. Step 2: Convert to fraction form
    338.04/506.44 = 175.90/x
  3. Step 3: Cross multiply
    338.04x = 506.44 × 175.90
  4. Step 4: Simplify right side
    338.04x = 89,082.80
  5. Step 5: Solve for x
    x = 89,082.80/338.04
  6. Step 6: Final answer
    x = 263.53

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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.