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Finding the Fourth Proportional to 338.02, 506.76 and 191.68

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Solution

The fourth proportional to 338.02, 506.76 and 191.68 is: 287.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.02 : 506.76 = 191.68 : x
  2. Step 2: Convert to fraction form
    338.02/506.76 = 191.68/x
  3. Step 3: Cross multiply
    338.02x = 506.76 × 191.68
  4. Step 4: Simplify right side
    338.02x = 97,135.76
  5. Step 5: Solve for x
    x = 97,135.76/338.02
  6. Step 6: Final answer
    x = 287.37

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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.