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Finding the Fourth Proportional to 193.46, 289.80 and 120.16

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Solution

The fourth proportional to 193.46, 289.80 and 120.16 is: 179.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.46 : 289.80 = 120.16 : x
  2. Step 2: Convert to fraction form
    193.46/289.80 = 120.16/x
  3. Step 3: Cross multiply
    193.46x = 289.80 × 120.16
  4. Step 4: Simplify right side
    193.46x = 34,822.25
  5. Step 5: Solve for x
    x = 34,822.25/193.46
  6. Step 6: Final answer
    x = 179.99

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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.