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Finding the Fourth Proportional to 193.60, 290.14 and 111.20

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Solution

The fourth proportional to 193.60, 290.14 and 111.20 is: 166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.60 : 290.14 = 111.20 : x
  2. Step 2: Convert to fraction form
    193.60/290.14 = 111.20/x
  3. Step 3: Cross multiply
    193.60x = 290.14 × 111.20
  4. Step 4: Simplify right side
    193.60x = 32,263.57
  5. Step 5: Solve for x
    x = 32,263.57/193.60
  6. Step 6: Final answer
    x = 166.65

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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.