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Finding the Fourth Proportional to 189.20, 283.60 and 168.95

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Solution

The fourth proportional to 189.20, 283.60 and 168.95 is: 253.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.20 : 283.60 = 168.95 : x
  2. Step 2: Convert to fraction form
    189.20/283.60 = 168.95/x
  3. Step 3: Cross multiply
    189.20x = 283.60 × 168.95
  4. Step 4: Simplify right side
    189.20x = 47,915.14
  5. Step 5: Solve for x
    x = 47,915.14/189.20
  6. Step 6: Final answer
    x = 253.25

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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.