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Finding the Fourth Proportional to 193.64, 290.46 and 85.43

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Solution

The fourth proportional to 193.64, 290.46 and 85.43 is: 128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.64 : 290.46 = 85.43 : x
  2. Step 2: Convert to fraction form
    193.64/290.46 = 85.43/x
  3. Step 3: Cross multiply
    193.64x = 290.46 × 85.43
  4. Step 4: Simplify right side
    193.64x = 24,813.99
  5. Step 5: Solve for x
    x = 24,813.99/193.64
  6. Step 6: Final answer
    x = 128.14

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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.