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Finding the Fourth Proportional to 193.57, 290.14 and 97.18

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Solution

The fourth proportional to 193.57, 290.14 and 97.18 is: 145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.57 : 290.14 = 97.18 : x
  2. Step 2: Convert to fraction form
    193.57/290.14 = 97.18/x
  3. Step 3: Cross multiply
    193.57x = 290.14 × 97.18
  4. Step 4: Simplify right side
    193.57x = 28,194.84
  5. Step 5: Solve for x
    x = 28,194.84/193.57
  6. Step 6: Final answer
    x = 145.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.