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Finding the Fourth Proportional to 338.34, 506.70 and 175.53

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Solution

The fourth proportional to 338.34, 506.70 and 175.53 is: 262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.34 : 506.70 = 175.53 : x
  2. Step 2: Convert to fraction form
    338.34/506.70 = 175.53/x
  3. Step 3: Cross multiply
    338.34x = 506.70 × 175.53
  4. Step 4: Simplify right side
    338.34x = 88,941.05
  5. Step 5: Solve for x
    x = 88,941.05/338.34
  6. Step 6: Final answer
    x = 262.87

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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.