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Finding the Fourth Proportional to 193.17, 289.67 and 71.35

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Solution

The fourth proportional to 193.17, 289.67 and 71.35 is: 106.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.17 : 289.67 = 71.35 : x
  2. Step 2: Convert to fraction form
    193.17/289.67 = 71.35/x
  3. Step 3: Cross multiply
    193.17x = 289.67 × 71.35
  4. Step 4: Simplify right side
    193.17x = 20,666.87
  5. Step 5: Solve for x
    x = 20,666.87/193.17
  6. Step 6: Final answer
    x = 106.99

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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.