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Finding the Fourth Proportional to 193.03, 289.67 and 77.46

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Solution

The fourth proportional to 193.03, 289.67 and 77.46 is: 116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.03 : 289.67 = 77.46 : x
  2. Step 2: Convert to fraction form
    193.03/289.67 = 77.46/x
  3. Step 3: Cross multiply
    193.03x = 289.67 × 77.46
  4. Step 4: Simplify right side
    193.03x = 22,437.99
  5. Step 5: Solve for x
    x = 22,437.99/193.03
  6. Step 6: Final answer
    x = 116.24

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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.