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Finding the Fourth Proportional to 193.23, 289.71 and 120.87

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Solution

The fourth proportional to 193.23, 289.71 and 120.87 is: 181.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.23 : 289.71 = 120.87 : x
  2. Step 2: Convert to fraction form
    193.23/289.71 = 120.87/x
  3. Step 3: Cross multiply
    193.23x = 289.71 × 120.87
  4. Step 4: Simplify right side
    193.23x = 35,017.25
  5. Step 5: Solve for x
    x = 35,017.25/193.23
  6. Step 6: Final answer
    x = 181.22

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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.