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Finding the Fourth Proportional to 193.59, 290.50 and 85.39

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Solution

The fourth proportional to 193.59, 290.50 and 85.39 is: 128.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.59 : 290.50 = 85.39 : x
  2. Step 2: Convert to fraction form
    193.59/290.50 = 85.39/x
  3. Step 3: Cross multiply
    193.59x = 290.50 × 85.39
  4. Step 4: Simplify right side
    193.59x = 24,804.86
  5. Step 5: Solve for x
    x = 24,804.86/193.59
  6. Step 6: Final answer
    x = 128.13

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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.